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268137217 is a prime number
BaseRepresentation
bin11111111101101…
…11001100000001
3200200112210010001
433332313030001
51022120342332
642335040001
76434062105
oct1776671401
9620483101
10268137217
111283a1507
1275970001
1343722c9a
142787b905
15188180e7
hexffb7301

268137217 has 2 divisors, whose sum is σ = 268137218. Its totient is φ = 268137216.

The previous prime is 268137169. The next prime is 268137223. The reversal of 268137217 is 712731862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138086001 + 130051216 = 11751^2 + 11404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268137217 is a prime.

It is not a weakly prime, because it can be changed into another prime (268137257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134068608 + 134068609.

It is an arithmetic number, because the mean of its divisors is an integer number (134068609).

Almost surely, 2268137217 is an apocalyptic number.

It is an amenable number.

268137217 is a deficient number, since it is larger than the sum of its proper divisors (1).

268137217 is an equidigital number, since it uses as much as digits as its factorization.

268137217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 37.

The square root of 268137217 is about 16374.8959386006. The cubic root of 268137217 is about 644.8405887723.

The spelling of 268137217 in words is "two hundred sixty-eight million, one hundred thirty-seven thousand, two hundred seventeen".