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225715213507644 = 223272939304761923
BaseRepresentation
bin110011010100100101101011…
…000111110001110000111100
31002121012011102022121100111100
4303110211223013301300330
5214041104224124221034
62120020045415453100
765354246256531030
oct6324455307616074
91077164368540440
10225715213507644
1165a13314706a53
1221395154387190
1398c3b12926423
143da49632501c0
151b1658613a099
hexcd496b1f1c3c

225715213507644 has 72 divisors (see below), whose sum is σ = 652288041175680. Its totient is φ = 64468117932192.

The previous prime is 225715213507621. The next prime is 225715213507673. The reversal of 225715213507644 is 446705312517522.

225715213507644 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 521 + 3 + 5 + 0 + 76 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151640334 + ... + 153121589.

It is an arithmetic number, because the mean of its divisors is an integer number (9059556127440).

Almost surely, 2225715213507644 is an apocalyptic number.

It is an amenable number.

225715213507644 is an abundant number, since it is smaller than the sum of its proper divisors (426572827668036).

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

225715213507644 is a wasteful number, since it uses less digits than its factorization.

225715213507644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304764879 (or 304764874 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 225715213507644 in words is "two hundred twenty-five trillion, seven hundred fifteen billion, two hundred thirteen million, five hundred seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2939 5878 8817 11756 17634 20573 26451 35268 41146 52902 61719 82292 105804 123438 185157 246876 370314 740628 304761923 609523846 914285769 1219047692 1828571538 2133333461 2742857307 3657143076 4266666922 5485714614 6400000383 8533333844 10971429228 12800000766 19200001149 25600001532 38400002298 76800004596 895695291697 1791390583394 2687085875091 3582781166788 5374171750182 6269867041879 8061257625273 10748343500364 12539734083758 16122515250546 18809601125637 25079468167516 32245030501092 37619202251274 56428803376911 75238404502548 112857606753822 225715213507644