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225465630520 = 235134110575311
BaseRepresentation
bin1101000111111011001…
…1000111111100111000
3210112222002100202022011
43101332303013330320
512143223200134040
6251324422535304
722201151144524
oct3217663077470
9715862322264
10225465630520
118768a51a339
1237843b97534
13183521659c0
14acac234d84
155ce8e713ea
hex347ecc7f38

225465630520 has 64 divisors (see below), whose sum is σ = 559645511040. Its totient is φ = 81218380800.

The previous prime is 225465630469. The next prime is 225465630539. The reversal of 225465630520 is 25036564522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5266336 + ... + 5308975.

It is an arithmetic number, because the mean of its divisors is an integer number (8744461110).

Almost surely, 2225465630520 is an apocalyptic number.

225465630520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225465630520 is an abundant number, since it is smaller than the sum of its proper divisors (334179880520).

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

225465630520 is a wasteful number, since it uses less digits than its factorization.

225465630520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575376 (or 10575372 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 225465630520 in words is "two hundred twenty-five billion, four hundred sixty-five million, six hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 10575311 21150622 42301244 52876555 84602488 105753110 137479043 211506220 274958086 423012440 433587751 549916172 687395215 867175502 1099832344 1374790430 1734351004 2167938755 2749580860 3468702008 4335877510 5499161720 5636640763 8671755020 11273281526 17343510040 22546563052 28183203815 45093126104 56366407630 112732815260 225465630520