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225735116005464 = 233132214893266573
BaseRepresentation
bin110011010100111000001101…
…011001110010000001011000
31002121021001210100122222220020
4303110320031121302001120
5214041421004144133324
62120033140343230440
765355552416135022
oct6324701531620130
91077231710588806
10225735116005464
1165a207a80a015a
1221398b89748420
1398c5965053460
143da58d05d5012
151b16d4d546679
hexcd4e0d672058

225735116005464 has 64 divisors (see below), whose sum is σ = 607751319218400. Its totient is φ = 69456623917056.

The previous prime is 225735116005457. The next prime is 225735116005543. The reversal of 225735116005464 is 464500611537522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67471282 + ... + 70737854.

Almost surely, 2225735116005464 is an apocalyptic number.

225735116005464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225735116005464 is an abundant number, since it is smaller than the sum of its proper divisors (382016203212936).

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

225735116005464 is a wasteful number, since it uses less digits than its factorization.

225735116005464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488084 (or 3488080 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 225735116005464 in words is "two hundred twenty-five trillion, seven hundred thirty-five billion, one hundred sixteen million, five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 221489 442978 664467 885956 1328934 1771912 2657868 2879357 3266573 5315736 5758714 6533146 8638071 9799719 11517428 13066292 17276142 19599438 23034856 26132584 34552284 39198876 42465449 69104568 78397752 84930898 127396347 169861796 254792694 339723592 509585388 1019170776 723509987197 1447019974394 2170529961591 2894039948788 4341059923182 5788079897576 8682119846364 9405629833561 17364239692728 18811259667122 28216889500683 37622519334244 56433779001366 75245038668488 112867558002732 225735116005464