220 (two hundred [and] twenty) is the natural number following 219 and preceding 221.
| Cardinal | two hundred twenty |
| Ordinal | two hundred twentieth |
| Factorization |  |
| Roman numeral | CCXX |
| Binary | 11011100 |
| Hexadecimal | DC |
Contents |
In mathematics
It is a composite number, with its divisors being 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, making it an amicable number with 284.[1] 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 numbers.
In other fields
The number 220 can also refer to:
- The years 220 AD and 220 BC.
- A common voltage in many countries.
- In the Bible (Genesis 32:14), the number of goats Jacob gave to his brother Esau ("two hundred she-goats and twenty he-goats") as well as the number of sheep ("two hundred ewes and twenty rams").
- An SMTP code meaning "service ready"
- A series of garden tractors produced by Case (and later by Case IH) in the 1970s and 1980s - the series included the 220(10HP), the 222(12HP) and the 224(14HP).
- A film format for medium format cameras (see 120 film).
- A single by music duo t.A.T.u.
- An album by guitarist Phil Keaggy.
- The InterCity 225 train, a newer version of the InterCity 125.
221-229
Two hundred [and] twenty-one has its own article.
Two hundred [and] twenty-two has its own article.
Two hundred [and] twenty-three has its own article.
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
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, an octagonal number, a centered octagonal number, and a Harshad number.
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.
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.
Notes
- ^ Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 167
References
- Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (pp. 145 - 147). London: Penguin Group.
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