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225664443 = 32173739863
BaseRepresentation
bin11010111001101…
…01110110111011
3120201121221102100
431130311312323
5430232230233
634220434443
75410054554
oct1534656673
9521557370
10225664443
11106422044
12636a8a23
13379a1a74
1421d8332b
1514c28813
hexd735dbb

225664443 has 24 divisors (see below), whose sum is σ = 354470688. Its totient is φ = 137763072.

The previous prime is 225664441. The next prime is 225664459. The reversal of 225664443 is 344466522.

225664443 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 644 + 4 + 3 = 666.

It is not a de Polignac number, because 225664443 - 21 = 225664441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225664398 and 225664407.

It is not an unprimeable number, because it can be changed into a prime (225664441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14271 + ... + 25592.

It is an arithmetic number, because the mean of its divisors is an integer number (14769612).

Almost surely, 2225664443 is an apocalyptic number.

225664443 is a deficient number, since it is larger than the sum of its proper divisors (128806245).

225664443 is a wasteful number, since it uses less digits than its factorization.

225664443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39923 (or 39920 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 225664443 is about 15022.1317728211. The cubic root of 225664443 is about 608.8183188141.

The spelling of 225664443 in words is "two hundred twenty-five million, six hundred sixty-four thousand, four hundred forty-three".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 39863 119589 358767 677671 1474931 2033013 4424793 6099039 13274379 25073827 75221481 225664443