218 (number)

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Short description: Natural number
← 217 218 219 →
Cardinaltwo hundred eighteen
Ordinal218th
(two hundred eighteenth)
Factorization2 × 109
Greek numeralΣΙΗ´
Roman numeralCCXVIII
Binary110110102
Ternary220023
Quaternary31224
Quinary13335
Senary10026
Octal3328
Duodecimal16212
HexadecimalDA16
VigesimalAI20
Base 366236

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)". OEIS Foundation. https://oeis.org/A051400. 
  2. ↑ Sloane, N. J. A., ed. "Sequence A058763 (Integers which are neither totient nor cototient)". OEIS Foundation. https://oeis.org/A058763. 
  3. ↑ Sloane, N. J. A., ed. "Sequence A000371". OEIS Foundation. https://oeis.org/A000371. Retrieved 2022-05-10. 
  4. ↑ Sloane, N. J. A., ed. "Sequence A005897". OEIS Foundation. https://oeis.org/A005897. 
  5. ↑ "Why did bail-out pass this time?". 4 October 2008. http://news.bbc.co.uk/2/hi/americas/7652112.stm. 



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