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225624031146 = 23411312325141
BaseRepresentation
bin1101001000100000111…
…1010111111110101010
3210120101010102100010000
43102020033113332222
512144034222444041
6251352242003430
722205113423113
oct3221017277652
9716333370100
10225624031146
118776097a048
1237889046576
1318378c16497
14acc52a920a
155d07d0ebb6
hex34883d7faa

225624031146 has 40 divisors (see below), whose sum is σ = 510039026244. Its totient is φ = 74542446720.

The previous prime is 225624031103. The next prime is 225624031159. The reversal of 225624031146 is 641130426522.

225624031146 is a `hidden beast` number, since 2 + 2 + 562 + 40 + 3 + 11 + 46 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225139811121 + 484220025 = 474489^2 + 22005^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225624031146.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6144265 + ... + 6180876.

Almost surely, 2225624031146 is an apocalyptic number.

225624031146 is an abundant number, since it is smaller than the sum of its proper divisors (284414995098).

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

225624031146 is a wasteful number, since it uses less digits than its factorization.

225624031146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325268 (or 12325259 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 225624031146 its reverse (641130426522), we get a palindrome (866754457668).

The spelling of 225624031146 in words is "two hundred twenty-five billion, six hundred twenty-four million, thirty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 9153 18306 12325141 24650282 36975423 73950846 110926269 221852538 332778807 665557614 998336421 1392740933 1996672842 2785481866 4178222799 8356445598 12534668397 25069336794 37604005191 75208010382 112812015573 225624031146