# 219 (number)

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

 ← 218 219 220 →
Cardinaltwo hundred nineteen
Ordinal219th
(two hundred nineteenth)
Factorization3 × 73
Greek numeralΣΙΘ´
Roman numeralCCXIX
Binary110110112
Ternary220103
Senary10036
Octal3338
Duodecimal16312

## In 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.

## References

1. ^ Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. ^
3. ^
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..