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257102229 = 31271993391
BaseRepresentation
bin11110101001100…
…01000110010101
3122220210010221210
433110301012111
51011304232404
641302332033
76241222116
oct1724610625
9586703853
10257102229
1112214478a
127212a019
134135b2c7
142620820d
1517888689
hexf531195

257102229 has 16 divisors (see below), whose sum is σ = 347340800. Its totient is φ = 169147440.

The previous prime is 257102207. The next prime is 257102231. The reversal of 257102229 is 922201752.

257102229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257102229 - 212 = 257098133 is a prime.

It is a super-2 number, since 2×2571022292 = 132203112313536882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257102196 and 257102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257102239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74124 + ... + 77514.

It is an arithmetic number, because the mean of its divisors is an integer number (21708800).

Almost surely, 2257102229 is an apocalyptic number.

It is an amenable number.

257102229 is a deficient number, since it is larger than the sum of its proper divisors (90238571).

257102229 is a wasteful number, since it uses less digits than its factorization.

257102229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 257102229 is about 16034.4076597796. The cubic root of 257102229 is about 635.8704074196.

The spelling of 257102229 in words is "two hundred fifty-seven million, one hundred two thousand, two hundred twenty-nine".

Divisors: 1 3 127 199 381 597 3391 10173 25273 75819 430657 674809 1291971 2024427 85700743 257102229