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225715213507464 = 23323134933520937
BaseRepresentation
bin110011010100100101101011…
…000111110001101110001000
31002121012011102022121100020200
4303110211223013301232020
5214041104224124214324
62120020045415452200
765354246256530352
oct6324455307615610
91077164368540220
10225715213507464
1165a133147068aa
1221395154387060
1398c3b12926315
143da49632500d2
151b16586139ec9
hexcd496b1f1b88

225715213507464 has 24 divisors (see below), whose sum is σ = 611312036582910. Its totient is φ = 75238404502464.

The previous prime is 225715213507423. The next prime is 225715213507493. The reversal of 225715213507464 is 464705312517522.

225715213507464 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 521 + 3 + 50 + 7 + 4 + 64 = 666.

225715213507464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 188579084408100 + 37136129099364 = 13732410^2 + 6093942^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2257152135074642 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225715213507464.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1567466760397 + ... + 1567466760540.

Almost surely, 2225715213507464 is an apocalyptic number.

225715213507464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225715213507464 is an abundant number, since it is smaller than the sum of its proper divisors (385596823075446).

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

225715213507464 is a wasteful number, since it uses less digits than its factorization.

225715213507464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134933520949 (or 3134933520942 counting only the distinct ones).

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

The spelling of 225715213507464 in words is "two hundred twenty-five trillion, seven hundred fifteen billion, two hundred thirteen million, five hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3134933520937 6269867041874 9404800562811 12539734083748 18809601125622 25079468167496 28214401688433 37619202251244 56428803376866 75238404502488 112857606753732 225715213507464