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257608229 is a prime number
BaseRepresentation
bin11110101101011…
…00101000100101
3122221201212001112
433112230220211
51011421430404
641321234405
76245430254
oct1726545045
9587655045
10257608229
1112245a96a
1272332a05
13414a7708
14262da79b
151793856e
hexf5aca25

257608229 has 2 divisors, whose sum is σ = 257608230. Its totient is φ = 257608228.

The previous prime is 257608223. The next prime is 257608231. The reversal of 257608229 is 922806752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251222500 + 6385729 = 15850^2 + 2527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257608229 is a prime.

It is a Sophie Germain prime.

Together with 257608231, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257608223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128804114 + 128804115.

It is an arithmetic number, because the mean of its divisors is an integer number (128804115).

Almost surely, 2257608229 is an apocalyptic number.

It is an amenable number.

257608229 is a deficient number, since it is larger than the sum of its proper divisors (1).

257608229 is an equidigital number, since it uses as much as digits as its factorization.

257608229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 257608229 is about 16050.1784725280. The cubic root of 257608229 is about 636.2872838505.

The spelling of 257608229 in words is "two hundred fifty-seven million, six hundred eight thousand, two hundred twenty-nine".