# 219 (number)

| ||||
---|---|---|---|---|

Cardinal | two hundred nineteen | |||

Ordinal |
219th (two hundred and nineteenth) | |||

Factorization | 3 × 73 | |||

Roman numeral | CCXIX | |||

Binary |
11011011_{2} | |||

Ternary |
22010_{3} | |||

Quaternary |
3123_{4} | |||

Quinary |
1334_{5} | |||

Senary |
1003_{6} | |||

Octal |
333_{8} | |||

Duodecimal |
163_{12} | |||

Hexadecimal |
DB_{16} | |||

Vigesimal |
AJ_{20} | |||

Base 36 |
63_{36} |

**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

- The years 219 and 219 BC
- .219 Zipper and .219 Donaldson Wasp, rifle cartridges
*219 Days*, a music album*Case 219*, a film- Substation 219, a historic building in Harlem, New York
- List of highways numbered 219

## References

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

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