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22972816080 = 2433553200671
BaseRepresentation
bin10101011001010010…
…010101101011010000
32012022000101222021000
4111121102111223100
5334022020103310
614315323102000
71442200500114
oct253122255320
965260358230
1022972816080
119819612815
124551671900
132221561bc6
14117d053744
158e6c404c0
hex559495ad0

22972816080 has 160 divisors (see below), whose sum is σ = 80621982720. Its totient is φ = 6010467840.

The previous prime is 22972816079. The next prime is 22972816157. The reversal of 22972816080 is 8061827922.

22972816080 is a `hidden beast` number, since 2 + 297 + 281 + 6 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14145 + ... + 214815.

It is an arithmetic number, because the mean of its divisors is an integer number (503887392).

Almost surely, 222972816080 is an apocalyptic number.

22972816080 is a gapful number since it is divisible by the number (20) 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 22972816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40310991360).

22972816080 is an abundant number, since it is smaller than the sum of its proper divisors (57649166640).

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

22972816080 is a wasteful number, since it uses less digits than its factorization.

22972816080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200746 (or 200734 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22972816080 in words is "twenty-two billion, nine hundred seventy-two million, eight hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1060 1080 1272 1431 1590 1908 2120 2160 2385 2544 2862 3180 3816 4240 4770 5724 6360 7155 7632 9540 11448 12720 14310 19080 22896 28620 38160 57240 114480 200671 401342 602013 802684 1003355 1204026 1605368 1806039 2006710 2408052 3010065 3210736 3612078 4013420 4816104 5418117 6020130 7224156 8026840 9030195 9632208 10635563 10836234 12040260 14448312 16053680 18060390 21271126 21672468 24080520 27090585 28896624 31906689 36120780 42542252 43344936 48161040 53177815 54181170 63813378 72241560 85084504 86689872 95720067 106355630 108362340 127626756 144483120 159533445 170169008 191440134 212711260 216724680 255253512 287160201 319066890 382880268 425422520 433449360 478600335 510507024 574320402 638133780 765760536 850845040 957200670 1148640804 1276267560 1435801005 1531521072 1914401340 2297281608 2552535120 2871602010 3828802680 4594563216 5743204020 7657605360 11486408040 22972816080