219 (number)

← 218 219 220 →
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Cardinal two hundred nineteen
Ordinal 219th
(two hundred nineteenth)
Factorization 3 × 73
Greek numeral ΣΙΘ´
Roman numeral CCXIX
Binary 110110112
Ternary 220103
Quaternary 31234
Quinary 13345
Senary 10036
Octal 3338
Duodecimal 16312
Hexadecimal DB16
Vigesimal AJ20
Base 36 6336

219 (two hundred [and] nineteen) is the natural number following 218 and preceding 220.

Mathematics

  • 219 is a happy number.[1]
  • Mertens function(219) = 4, a record high.[2]
  • There are 219 partially 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 different space groups, discrete and full-dimensional sets of symmetries of three-dimensional space or of crystal structures.

See also

References

  1. ↑ Sloane, N.J.A. (ed.). "Sequence A007770 (Happy numbers)". The On-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)". The On-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))". The On-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)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. .
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