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22064725764 = 223219213032
BaseRepresentation
bin10100100011001010…
…001111111100000100
32002221201200012112100
4110203022033330010
5330142032211024
614045243352100
71410533034354
oct244312177404
962851605470
1022064725764
1193a2a65054
124339522630
132108394c63
1410d45ccb64
158921667c9
hex52328ff04

22064725764 has 81 divisors (see below), whose sum is σ = 58909946823. Its totient is φ = 6962460624.

The previous prime is 22064725759. The next prime is 22064725789. The reversal of 22064725764 is 46752746022.

It is a happy number.

The square root of 22064725764 is 148542.

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

22064725764 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 4 + 72 + 576 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16933137 + ... + 16934439.

Almost surely, 222064725764 is an apocalyptic number.

22064725764 is the 148542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22064725764

22064725764 is an abundant number, since it is smaller than the sum of its proper divisors (36845221059).

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

22064725764 is a wasteful number, since it uses less digits than its factorization.

22064725764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 22064725764 in words is "twenty-two billion, sixty-four million, seven hundred twenty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1303 1444 2166 2606 3249 3909 4332 5212 6498 7818 11727 12996 15636 23454 24757 46908 49514 74271 99028 148542 222813 297084 445626 470383 891252 940766 1411149 1697809 1881532 2822298 3395618 4233447 5093427 5644596 6791236 8466894 10186854 15280281 16933788 20373708 30560562 32258371 61121124 64516742 96775113 129033484 193550226 290325339 387100452 580650678 612909049 1161301356 1225818098 1838727147 2451636196 3677454294 5516181441 7354908588 11032362882 22064725764