220 (number)
Encyclopedia
220 is the natural number
following 219 and preceding 221
.
, with its divisors being 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, making it an amicable number
with 284
. Also, being divisible by the sum of its digits, 220 is a Harshad number
.
It is the sum of four consecutive primes (47 + 53 + 59 + 61).
It is a tetrahedral number
, the sum of the first ten triangular number
s.
has its own article.
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Two hundred [and] twenty-two
has its own article.
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Two hundred [and] twenty-three
has its own article.
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Two hundred [and] twenty-four 224 = 25·7
224 is the sum of 2 cubes:
224 is the sum of the cubes of 4 consecutive integers:
224 is a Harshad number.
See also: Area code 224
----
Two hundred [and] twenty-five 225 = 32·52 = 152
225 is the sum of the cubes of the first five integers:
225 is the sum of 3 cubes:
225 is a refactorable number
, an octagonal number, a centered octagonal number
, and a Harshad number
.
225 is the only 3-digit square with all prime digits.
See also: Area code 225
- North American telephone area code 225 encompasses a section of south Louisiana, including Baton Rouge. The area code has come to be part of the identity of the Baton Rouge area to the extent that there is a local news magazine named 225.
----
Two hundred [and] twenty-six 226 = 2·113
226 is a centered pentagonal number
.
See also: Area code 226
----
Two hundred [and] twenty-seven
has its own article.
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Two hundred [and] twenty-eight 228 = 22·3·19
228 is the sum of six consecutive primes (29 + 31 + 37 + 41 + 43 + 47), the sum of ten consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41), a refactorable number
, a Harshad number, and a repdigit
in base 7 (444).
See also:
----
Two hundred [and] twenty-nine
has its own article.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 219 and preceding 221
221 (number)
221 is the natural number following 220 and preceding 222.-In mathematics:221 is:* a semiprime* the sum of five consecutive prime numbers...
.
| Cardinal Cardinal number In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number – the number of elements in the set. The transfinite cardinal numbers describe the sizes of infinite... |
two hundred twenty |
| Ordinal Ordinal number In set theory, an ordinal number, or just ordinal, is the order type of a well-ordered set. They are usually identified with hereditarily transitive sets. Ordinals are an extension of the natural numbers different from integers and from cardinals... |
two hundred twentieth |
| Factorization Factorization In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original... |  |
| Roman numeral | CCXX |
| Binary Binary numeral system The binary numeral system, or base-2 number system, represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2... |
11011100 |
| Hexadecimal Hexadecimal In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen... |
DC |
In mathematics
It is a composite numberComposite number
A composite number is a positive integer which has a positive divisor other than one or itself. In other words a composite number is any positive integer greater than one that is not a prime number....
, with its divisors being 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, making it an amicable number
Amicable number
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. A pair of amicable numbers constitutes an aliquot sequence of period 2...
with 284
284 (number)
Two hundred eighty-four is the natural number following 283 and preceding 285.Its divisors are 1, 2, 4, 71, and 142, adding up to 220, in turn, the divisors of 220 add up to 284, making the two a pair of amicable numbers....
. Also, being divisible by the sum of its digits, 220 is a Harshad number
Harshad number
A Harshad number, or Niven number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "Harshad" comes from the Sanskrit + , meaning joy-giver. The Niven...
.
It is the sum of four consecutive primes (47 + 53 + 59 + 61).
It is a tetrahedral number
Tetrahedral number
A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...
, the sum of the first ten triangular number
Triangular number
A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...
s.
In other fields
The number 220 can also refer to:- The years 220220Year 220 was a leap year starting on Saturday of the Julian calendar. At the time, it was known as the Year of the Consulship of Antonius and Eutychianus...
AD and 220 BC220 BCYear 220 BC was a year of the pre-Julian Roman calendar. At the time it was known as the Year of the Consulship of Laevinus/Catulus and Scaevola/Philo...
. - A common voltVoltThe volt is the SI derived unit for electric potential, electric potential difference, and electromotive force. The volt is named in honor of the Italian physicist Alessandro Volta , who invented the voltaic pile, possibly the first chemical battery.- Definition :A single volt is defined as the...
age in many countries. - An SMTPSimple Mail Transfer ProtocolSimple Mail Transfer Protocol is an Internet standard for electronic mail transmission across Internet Protocol networks. SMTP was first defined by RFC 821 , and last updated by RFC 5321 which includes the extended SMTP additions, and is the protocol in widespread use today...
code meaning "service ready" - A series of garden tractors produced by CaseCase CorporationCase Corporation was a manufacturer of construction and agricultural equipment. In 1999 it merged with New Holland to form CNH Global, a Fiat Group division...
(and later by Case IHCase IHCase IH is an American mechanical company, one of the world’s largest brands of agricultural equipment. With headquarters in Racine, Wisconsin, it has a network of more than 4,000 dealers and distributors that operates in more than 160 countries...
) in the 1970s1970sFile:1970s decade montage.png|From left, clockwise: US President Richard Nixon doing the V for Victory sign after his resignation from office after the Watergate scandal in 1974; Refugees aboard a US naval boat after the Fall of Saigon, leading to the end of the Vietnam War in 1975; The 1973 oil...
and 1980s1980sFile:1980s decade montage.png|thumb|400px|From left, clockwise: The first Space Shuttle, Columbia, lifted off in 1981; American President Ronald Reagan and Soviet leader Mikhail Gorbachev eased tensions between the two superpowers, leading to the end of the Cold War; The Fall of the Berlin Wall in...
- the series included the 220(10HP), the 222(12HP) and the 224(14HP). - A filmPhotographic filmPhotographic film is a sheet of plastic coated with an emulsion containing light-sensitive silver halide salts with variable crystal sizes that determine the sensitivity, contrast and resolution of the film...
format for medium format cameraCameraA camera is a device that records and stores images. These images may be still photographs or moving images such as videos or movies. The term camera comes from the camera obscura , an early mechanism for projecting images...
s (see 120 film120 film120 is a film format for still photography introduced by Kodak for their Brownie No. 2 in 1901. It was originally intended for amateur photography but was later superseded in this role by 135 film...
). - A single by music duo t.A.T.u.T.A.T.u.t.A.T.u. was a duo formed in Moscow, Russia in 1999 by Ivan Shapovalov. The group consisted of Lena Katina and Yulia Volkova.Their debut single "Ya Soshla S Uma" was released in December 2000. The single had a huge success in Russia and Eastern Europe...
- An album by guitarist Phil KeaggyPhil KeaggyPhil Keaggy is an American acoustic and electric guitarist and vocalist who has released more than 50 albums and contributed to many more recordings in both the contemporary Christian music and mainstream markets...
. - The InterCity 225InterCity 225The InterCity 225 is a locomotive-hauled domestic train in the United Kingdom, comprising a Class 91 electric locomotive, nine Mark 4 coaches and a Driving Van Trailer...
train, a newer version of the InterCity 125InterCity 125The InterCity 125 was the brand name of British Rail's High Speed Train fleet. The InterCity 125 train is made up of two power cars, one at each end of a fixed formation of Mark 3 carriages, and is capable of , making the train the fastest diesel-powered locomotive in regular service in the...
.
221-229
Two hundred [and] twenty-one221 (number)
221 is the natural number following 220 and preceding 222.-In mathematics:221 is:* a semiprime* the sum of five consecutive prime numbers...
has its own article.
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Two hundred [and] twenty-two
222 (number)
222 is the natural number following 221 and preceding 223. It is a repdigit composite number, and its factorization makes it a sphenic number. It is also a Harshad number....
has its own article.
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Two hundred [and] twenty-three
223 (number)
223 is the natural number between 222 and 224. It is also a prime number.-In mathematics:223 is a long prime, a strong prime, a lucky prime and a sexy prime .223 is the fourth Carol number and the third to be prime....
has its own article.
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Two hundred [and] twenty-four 224 = 25·7
224 is the sum of 2 cubes:
- 224 = 23 + 63
224 is the sum of the cubes of 4 consecutive integers:
- 224 = 23 + 33 + 43 + 53
224 is a Harshad number.
See also: Area code 224
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Two hundred [and] twenty-five 225 = 32·52 = 152
225 is the sum of the cubes of the first five integers:
- 225 = 13 + 23 + 33 + 43 + 53
225 is the sum of 3 cubes:
- 225 = 13 + 23 + 63
225 is a refactorable number
Refactorable number
A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that \tau|n. The first few refactorable numbers are listed in 1, 2, 8, 9, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96...
, an octagonal number, a centered octagonal number
Centered octagonal number
A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers...
, and a Harshad number
Harshad number
A Harshad number, or Niven number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "Harshad" comes from the Sanskrit + , meaning joy-giver. The Niven...
.
225 is the only 3-digit square with all prime digits.
See also: Area code 225
Area code 225
225 is the North American telephone area code for part of southern Louisiana, including the entire nine-parish Baton Rouge Metropolitan Area. The area code was the second area code to be split off from the original area code 504, which had covered the entire state previously. Area code 318 was the...
- North American telephone area code 225 encompasses a section of south Louisiana, including Baton Rouge. The area code has come to be part of the identity of the Baton Rouge area to the extent that there is a local news magazine named 225.
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Two hundred [and] twenty-six 226 = 2·113
226 is a centered pentagonal number
Centered pentagonal number
A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers...
.
See also: Area code 226
----
Two hundred [and] twenty-seven
227 (number)
227 is the natural number between 226 and 228. It is also a prime number.-In mathematics:227 is a prime number, and a twin prime with 229 . 223 plus 4 is 227, so they are cousin primes...
has its own article.
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Two hundred [and] twenty-eight 228 = 22·3·19
228 is the sum of six consecutive primes (29 + 31 + 37 + 41 + 43 + 47), the sum of ten consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41), a refactorable number
Refactorable number
A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that \tau|n. The first few refactorable numbers are listed in 1, 2, 8, 9, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96...
, a Harshad number, and a repdigit
Repdigit
In recreational mathematics, a repdigit is a natural number composed of repeated instances of the same digit, most often in the decimal numeral system....
in base 7 (444).
See also:
- 228 Incident228 IncidentThe 228 Incident, also known as the 228 Massacre, was an anti-government uprising in Taiwan that began on February 27, 1947, and was violently suppressed by the Kuomintang government. Estimates of the number of deaths vary from 10,000 to 30,000 or more...
- Area code 228Area code 228228 is the North American telephone area code for the Gulf Coast of Mississippi. It was the second Mississippi area code, created in 1997, when it was split off from the original area code 601, which had covered the entire state....
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Two hundred [and] twenty-nine
229 (number)
229 is the natural number between 228 and 230. It is also a prime number.The North American telephone area code 229 is assigned to the area around the city of Albany in southwestern Georgia in North America....
has its own article.