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# 217 (number)

 ← 216 217 218 →
Cardinaltwo hundred seventeen
Ordinal217th
(two hundred seventeenth)
Factorization7 × 31
Greek numeralΣΙΖ´
Roman numeralCCXVII
Binary110110012
Ternary220013
Quaternary31214
Quinary13325
Senary10016
Octal3318
Duodecimal16112
VigesimalAH20
Base 366136

217 (two hundred [and] seventeen) is the natural number following 216 and preceding 218.

217 is a centered hexagonal number, a 12-gonal number, a centered 36-gonal number, a Fermat pseudoprime to base 5, and a Blum integer.[1] It is both the sum of two positive cubes and the difference of two positive consecutive cubes in exactly one way: ${\displaystyle 217=6^{3}+1^{3}=9^{3}-8^{3}}$. When written in binary, it is a non-repetitive Kaprekar number.[2] It is also the sum of all the divisors of 100.