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225521936802 = 236124372
BaseRepresentation
bin1101001000001000100…
…1111010100110100010
3210120010000022102000000
43102002021322212202
512143332103434202
6251334153440430
722202433556011
oct3220211724642
9716100272000
10225521936802
1187709288058
123785aa10116
1318360a1b626
14acb58d0a78
155cedd9491c
hex348227a9a2

225521936802 has 42 divisors (see below), whose sum is σ = 507233123553. Its totient is φ = 75167934552.

The previous prime is 225521936789. The next prime is 225521936867. The reversal of 225521936802 is 208639125522.

225521936802 is a `hidden beast` number, since 2 + 2 + 552 + 1 + 93 + 6 + 8 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154691969481 + 70829967321 = 393309^2 + 266139^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335799.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18126928 + ... + 18139364.

Almost surely, 2225521936802 is an apocalyptic number.

225521936802 is an abundant number, since it is smaller than the sum of its proper divisors (281711186751).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225521936802 is an frugal number, since it uses more digits than its factorization.

225521936802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24894 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 225521936802 in words is "two hundred twenty-five billion, five hundred twenty-one million, nine hundred thirty-six thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 12437 24874 37311 74622 111933 223866 335799 671598 1007397 2014794 3022191 6044382 9066573 18133146 154678969 309357938 464036907 928073814 1392110721 2784221442 4176332163 8352664326 12528996489 25057992978 37586989467 75173978934 112760968401 225521936802