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257337201 = 3117798097
BaseRepresentation
bin11110101011010…
…10011101110001
3122221020002021110
433111222131301
51011334242301
641311343533
76243221142
oct1725523561
9587202243
10257337201
11122295280
1272221ba9
1341411244
1426269ac9
15178d30d6
hexf56a771

257337201 has 8 divisors (see below), whose sum is σ = 374308704. Its totient is φ = 155961920.

The previous prime is 257337187. The next prime is 257337221. The reversal of 257337201 is 102733752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257337201 - 26 = 257337137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257337221) 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 7 ways as a sum of consecutive naturals, for example, 3899016 + ... + 3899081.

It is an arithmetic number, because the mean of its divisors is an integer number (46788588).

Almost surely, 2257337201 is an apocalyptic number.

It is an amenable number.

257337201 is a deficient number, since it is larger than the sum of its proper divisors (116971503).

257337201 is a wasteful number, since it uses less digits than its factorization.

257337201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798111.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 257337201 is about 16041.7331046243. The cubic root of 257337201 is about 636.0640609299.

The spelling of 257337201 in words is "two hundred fifty-seven million, three hundred thirty-seven thousand, two hundred one".

Divisors: 1 3 11 33 7798097 23394291 85779067 257337201