217 (number)

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216 217 218
Cardinal two hundred seventeen
Ordinal 217th
(two hundred seventeenth)
Factorization 7 × 31
Greek numeral ΣΙΖ´
Roman numeral CCXVII
Binary 110110012
Ternary 220013
Senary 10016
Octal 3318
Duodecimal 16112
Hexadecimal D916

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

Contents

In mathematics

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: . When written in binary, it is a non-repetitive Kaprekar number. [2] It is also the sum of all the divisors of 100.

See also

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References