219 (number)

← 218 219 220 →
← 200 210 220 230 240 250 260 270 280 290 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	two hundred nineteen
Ordinal	219th (two hundred and nineteenth)
Factorization	3 × 73
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 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

• .219 Zipper, a rifle cartridge
• 219 Days, a music album
• Case 219, a film
• Substation 219, a historic building in Harlem, New York
• List of highways numbered 219

References

1. "Sloane's A007770 : Happy numbers", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. "Sloane's 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's 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's A025420 : Least sum of 4 positive cubes in exactly n ways", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..