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225822643264 = 2619123112
BaseRepresentation
bin1101001001010000010…
…1000001010001000000
3210120212222010212201101
43102110011001101000
512144441044041024
6251424054544144
722213044540151
oct3222405012100
9716788125641
10225822643264
1187852aa4299
1237923668054
13183ab105b4a
14ad03809928
155d1a492c44
hex3494141440

225822643264 has 63 divisors (see below), whose sum is σ = 451928383543. Its totient is φ = 111959004800.

The previous prime is 225822643229. The next prime is 225822643303. The reversal of 225822643264 is 462346228522.

The square root of 225822643264 is 475208.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 726117669 + ... + 726117979.

Almost surely, 2225822643264 is an apocalyptic number.

225822643264 is the 475208-th square number.

It is an amenable number.

225822643264 is an abundant number, since it is smaller than the sum of its proper divisors (226105740279).

225822643264 is an frugal number, since it uses more digits than its factorization.

225822643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 504 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 46.

The spelling of 225822643264 in words is "two hundred twenty-five billion, eight hundred twenty-two million, six hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 191 311 382 622 764 1244 1528 2488 3056 4976 6112 9952 12224 19904 36481 59401 72962 96721 118802 145924 193442 237604 291848 386884 475208 583696 773768 950416 1167392 1547536 1900832 2334784 3095072 3801664 6190144 11345591 18473711 22691182 36947422 45382364 73894844 90764728 147789688 181529456 295579376 363058912 591158752 726117824 1182317504 3528478801 7056957602 14113915204 28227830408 56455660816 112911321632 225822643264