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257530229 = 11217125197
BaseRepresentation
bin11110101100110…
…01100101110101
3122221120220001122
433112121211311
51011411431404
641315433325
76244653665
oct1726314565
9587526048
10257530229
11122407300
12722b5845
134147b068
14262ba1a5
15179203be
hexf599975

257530229 has 12 divisors (see below), whose sum is σ = 299724012. Its totient is φ = 220344960.

The previous prime is 257530223. The next prime is 257530243. The reversal of 257530229 is 922035752.

It can be written as a sum of positive squares in 2 ways, for example, as 125395204 + 132135025 = 11198^2 + 11495^2 .

It is a de Polignac number, because none of the positive numbers 2k-257530229 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257530223) 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 11 ways as a sum of consecutive naturals, for example, 60542 + ... + 64655.

It is an arithmetic number, because the mean of its divisors is an integer number (24977001).

Almost surely, 2257530229 is an apocalyptic number.

It is an amenable number.

257530229 is a deficient number, since it is larger than the sum of its proper divisors (42193783).

257530229 is a wasteful number, since it uses less digits than its factorization.

257530229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125236 (or 125225 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 257530229 is about 16047.7484090448. The cubic root of 257530229 is about 636.2230578767.

The spelling of 257530229 in words is "two hundred fifty-seven million, five hundred thirty thousand, two hundred twenty-nine".

Divisors: 1 11 17 121 187 2057 125197 1377167 2128349 15148837 23411839 257530229