From Wikipedia, the free encyclopedia
← 217 218 219 →
Cardinaltwo hundred eighteen
Ordinal218th
(two hundred eighteenth)
Factorization2 × 109
Greek numeralΣΙΗ´
Roman numeralCCXVIII
Binary110110102
Ternary220023
Senary10026
Octal3328
Duodecimal16212
HexadecimalDA16

218 (two hundred [and] eighteen) is the natural number following 217 and preceding 219.

In mathematics

  • Mertens function(218) = 3, a record high. [1]
  • 218 is nontotient and also noncototient. [2]
  • 218 is the number of inequivalent ways to color the 12 edges of a cube using at most 2 colors, where two colorings are equivalent if they differ only by a rotation of the cube.
  • There are 218 nondegenerate Boolean functions of 3 variables. [3]
  • The number of surface points on a 73 cube. [4]

In other fields

  • 218 is the current number of votes in the US House of Representatives a party or coalition needs to win in order to achieve a majority. [5]
  • The years 218 and 218 BC
  • Area code 218, for northern Minnesota.

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A051400 (Smallest value of x such that M(x)=n, where M() is Mertens's function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A058763 (Integers which are neither totient nor cototient)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A000371". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A005897". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Why did bail-out pass this time?". 4 October 2008.