216 (number)

← 215 216 217 →
← 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 sixteen
Ordinal	216th (two hundred sixteenth)
Factorization	23× 33
Divisors	1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Roman numeral	CCXVI
Binary	110110002
Ternary	220003
Quaternary	31204
Quinary	13315
Senary	10006
Octal	3308
Duodecimal	16012
Hexadecimal	D816
Vigesimal	AG20
Base 36	6036

216 (two hundred [and] sixteen) is the natural number following 215 and preceding 217.

Since ${\displaystyle 216=3^{3}+4^{3}+5^{3}=6^{3}}$, it is the smallest cube that is also the sum of three cubes (Plato was among the first to notice this, and mentioned it in Book VIII of Republic). It is also the sum of a twin prime (107 + 109). But since there is no way to express it as the sum of the proper divisors of any other integer, it is an untouchable number. This multiplicative magic square

${\displaystyle {\begin{pmatrix}2&9&12\\36&6&1\\3&4&18\end{pmatrix}}}$

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