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219 (number)

From Wikipedia, the free encyclopedia
Natural number
← 218219 220 →
Cardinaltwo hundred nineteen
Ordinal219th
(two hundred nineteenth)
Factorization3 × 73
Divisors1, 3, 73, 219
Greek numeralΣΙΘ´
Roman numeralCCXIX,ccxix
Binary110110112
Ternary220103
Senary10036
Octal3338
Duodecimal16312
HexadecimalDB16

219 (two hundred [and] nineteen) is thenatural number following218 and preceding220.

In mathematics

[edit]
  • 219 is ahappy number.[1]
  • Mertens function (219) = 4, a record high.[2]
  • There are 219partially ordered sets on four labeled elements.[3]
  • 219 is the smallest number that can be represented as a sum of four positive cubes in two different ways.[4]
  • There are 219 differentspace groups, discrete and full-dimensional sets of symmetries of three-dimensional space or of crystal structures.

References

[edit]
  1. ^Sloane, N. J. A. (ed.)."Sequence A007770 (Happy numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A051400 (Smallest value of x such that M(x)=n, where M() is Mertens's function)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^Sloane, N. J. A. (ed.)."Sequence A001035 (Number of partially ordered sets ("posets") with n labeled elements (or labeled acyclic transitive digraphs))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^Sloane, N. J. A. (ed.)."Sequence A025420 (Least sum of 4 positive cubes in exactly n ways)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation..
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