217 (number)

Short description: Natural number

| <- 216  | 217 |  218 ->

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← 210 211 212 213 214 215 216 217 218 219 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

Cardinal| two hundred seventeen
Ordinal| 217th
(two hundred seventeenth)
Factorization| 7 × 31
Greek numeral| ΣΙΖ´
Roman numeral| CCXVII
Binary| 110110012
Ternary| 220013
Quaternary| 31214
Quinary| 13325
Senary| 10016
Octal| 3318
Duodecimal| 16112
Hexadecimal| D916
Vigesimal| AH20
Base 36| 6136

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

## 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: 217=63+13=93−83. 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

* 217, the year

## References

1. ↑ The Number 217, Virtue Science
2. ↑ The non-repetitive Kaprekar binary numbers in decimal, OEIS

ca:Nombre 210#Nombres del 211 al 219

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