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225839361 = 31123591733
BaseRepresentation
bin11010111011000…
…00100100000001
3120201221211100210
431131200210001
5430303324421
634224304333
75411413536
oct1535404401
9521854323
10225839361
11106531500
12637720a9
1337a33577
1421dcad8d
1514c60576
hexd760901

225839361 has 24 divisors (see below), whose sum is σ = 332095680. Its totient is φ = 136412320.

The previous prime is 225839351. The next prime is 225839381. The reversal of 225839361 is 163938522.

It is not a de Polignac number, because 225839361 - 226 = 158730497 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225839321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129451 + ... + 131183.

It is an arithmetic number, because the mean of its divisors is an integer number (13837320).

Almost surely, 2225839361 is an apocalyptic number.

It is an amenable number.

225839361 is a deficient number, since it is larger than the sum of its proper divisors (106256319).

225839361 is a wasteful number, since it uses less digits than its factorization.

225839361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2106 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 225839361 is about 15027.9526549693. The cubic root of 225839361 is about 608.9755814854.

The spelling of 225839361 in words is "two hundred twenty-five million, eight hundred thirty-nine thousand, three hundred sixty-one".

Divisors: 1 3 11 33 121 359 363 1077 1733 3949 5199 11847 19063 43439 57189 130317 209693 622147 629079 1866441 6843617 20530851 75279787 225839361