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22960530632 = 231343172
BaseRepresentation
bin10101011000100011…
…011110010011001000
32012021011021210210102
4111120203132103020
5334010343440012
614314203504532
71441661201354
oct253043362310
965234253712
1022960530632
119812691556
124549528148
13221bb50000
14117b576464
158e5b152c2
hex5588de4c8

22960530632 has 60 divisors (see below), whose sum is σ = 46786040805. Its totient is φ = 10563738432.

The previous prime is 22960530623. The next prime is 22960530653. The reversal of 22960530632 is 23603506922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 21630761476 + 1329769156 = 147074^2 + 36466^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107146.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 72430538 + ... + 72430854.

Almost surely, 222960530632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22960530632

22960530632 is an abundant number, since it is smaller than the sum of its proper divisors (23825510173).

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

22960530632 is an frugal number, since it uses more digits than its factorization.

22960530632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 22960530632 in words is "twenty-two billion, nine hundred sixty million, five hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 169 317 338 634 676 1268 1352 2197 2536 4121 4394 8242 8788 16484 17576 28561 32968 53573 57122 100489 107146 114244 200978 214292 228488 401956 428584 696449 803912 1306357 1392898 2612714 2785796 5225428 5571592 9053837 10450856 16982641 18107674 33965282 36215348 67930564 72430696 135861128 220774333 441548666 883097332 1766194664 2870066329 5740132658 11480265316 22960530632