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30022825632 = 2537310341593
BaseRepresentation
bin11011111101011111…
…111111011010100000
32212111100020120020220
4123331133333122200
5442441320410012
621443045203040
72111664543612
oct337537773240
985440216226
1030022825632
1111807114298
12599a700480
132aa60276a7
14164b4aadb2
15baab3708c
hex6fd7ff6a0

30022825632 has 96 divisors (see below), whose sum is σ = 80667070848. Its totient is φ = 9774452736.

The previous prime is 30022825619. The next prime is 30022825643. The reversal of 30022825632 is 23652822003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 30022825593 and 30022825602.

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, 701028 + ... + 742620.

It is an arithmetic number, because the mean of its divisors is an integer number (840281988).

Almost surely, 230022825632 is an apocalyptic number.

30022825632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30022825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40333535424).

30022825632 is an abundant number, since it is smaller than the sum of its proper divisors (50644245216).

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

30022825632 is a wasteful number, since it uses less digits than its factorization.

30022825632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41782 (or 41774 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 30022825632 in words is "thirty billion, twenty-two million, eight hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 103 146 206 219 292 309 412 438 584 618 824 876 1168 1236 1648 1752 2336 2472 3296 3504 4944 7008 7519 9888 15038 22557 30076 41593 45114 60152 83186 90228 120304 124779 166372 180456 240608 249558 332744 360912 499116 665488 721824 998232 1330976 1996464 3036289 3992928 4284079 6072578 8568158 9108867 12145156 12852237 17136316 18217734 24290312 25704474 34272632 36435468 48580624 51408948 68545264 72870936 97161248 102817896 137090528 145741872 205635792 291483744 312737767 411271584 625475534 938213301 1250951068 1876426602 2501902136 3752853204 5003804272 7505706408 10007608544 15011412816 30022825632