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225957393 = 32191131447
BaseRepresentation
bin11010111011111…
…01011000010001
3120202011211021100
431131331120101
5430321114033
634231015013
75412414624
oct1535753021
9522154240
10225957393
11106602152
126380a469
1337a751cc
142201bdbb
1514c85513
hexd77d611

225957393 has 12 divisors (see below), whose sum is σ = 328094208. Its totient is φ = 149848440.

The previous prime is 225957371. The next prime is 225957397. The reversal of 225957393 is 393759522.

225957393 is a `hidden beast` number, since 2 + 259 + 5 + 7 + 393 = 666.

It is not a de Polignac number, because 225957393 - 210 = 225956369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225957397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64005 + ... + 67442.

It is an arithmetic number, because the mean of its divisors is an integer number (27341184).

Almost surely, 2225957393 is an apocalyptic number.

It is an amenable number.

225957393 is a deficient number, since it is larger than the sum of its proper divisors (102136815).

225957393 is a wasteful number, since it uses less digits than its factorization.

225957393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131644 (or 131641 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 225957393 is about 15031.8792238363. The cubic root of 225957393 is about 609.0816540599.

The spelling of 225957393 in words is "two hundred twenty-five million, nine hundred fifty-seven thousand, three hundred ninety-three".

Divisors: 1 3 9 191 573 1719 131447 394341 1183023 25106377 75319131 225957393