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257223861 = 3228580429
BaseRepresentation
bin11110101010011…
…10110010110101
3122221000022210200
433111032302311
51011322130421
641305111113
76242236536
oct1725166265
9587008720
10257223861
11122218104
1272188499
13413a178b
142623a68d
15178ae726
hexf54ecb5

257223861 has 6 divisors (see below), whose sum is σ = 371545590. Its totient is φ = 171482568.

The previous prime is 257223853. The next prime is 257223899. The reversal of 257223861 is 168322752.

257223861 is a `hidden beast` number, since 2 + 572 + 2 + 3 + 86 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 253000836 + 4223025 = 15906^2 + 2055^2 .

It is not a de Polignac number, because 257223861 - 23 = 257223853 is a prime.

It is a super-2 number, since 2×2572238612 = 132328229335494642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257223851) 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 in 5 ways as a sum of consecutive naturals, for example, 14290206 + ... + 14290223.

It is an arithmetic number, because the mean of its divisors is an integer number (61924265).

Almost surely, 2257223861 is an apocalyptic number.

It is an amenable number.

257223861 is a deficient number, since it is larger than the sum of its proper divisors (114321729).

257223861 is a wasteful number, since it uses less digits than its factorization.

257223861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28580435 (or 28580432 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 257223861 is about 16038.2000548690. The cubic root of 257223861 is about 635.9706658477.

The spelling of 257223861 in words is "two hundred fifty-seven million, two hundred twenty-three thousand, eight hundred sixty-one".

Divisors: 1 3 9 28580429 85741287 257223861