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257195231 is a prime number
BaseRepresentation
bin11110101010001…
…11110011011111
3122220221212112022
433111013303133
51011320221411
641304330355
76242060216
oct1725076337
9586855468
10257195231
111221a8647
12721739bb
1341391737
142623007d
15178a5edb
hexf547cdf

257195231 has 2 divisors, whose sum is σ = 257195232. Its totient is φ = 257195230.

The previous prime is 257195149. The next prime is 257195249. The reversal of 257195231 is 132591752.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257195231 is a prime.

It is a super-2 number, since 2×2571952312 = 132298773698286722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 257195191 and 257195200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257192231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128597615 + 128597616.

It is an arithmetic number, because the mean of its divisors is an integer number (128597616).

Almost surely, 2257195231 is an apocalyptic number.

257195231 is a deficient number, since it is larger than the sum of its proper divisors (1).

257195231 is an equidigital number, since it uses as much as digits as its factorization.

257195231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 35.

The square root of 257195231 is about 16037.3074735131. The cubic root of 257195231 is about 635.9470696494.

The spelling of 257195231 in words is "two hundred fifty-seven million, one hundred ninety-five thousand, two hundred thirty-one".