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22153705420 = 22571171202613
BaseRepresentation
bin10100101000011101…
…101011011111001100
32010011221002211200011
4110220131223133030
5330332322033140
614102142443004
71412663250310
oct245035533714
963157084604
1022153705420
119439209860
124363293464
13212094a642
141102351b40
15899d90cea
hex52876b7cc

22153705420 has 96 divisors (see below), whose sum is σ = 58819654656. Its totient is φ = 6807763200.

The previous prime is 22153705417. The next prime is 22153705477. The reversal of 22153705420 is 2450735122.

It is a super-2 number, since 2×221537054202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8034 + ... + 210646.

It is an arithmetic number, because the mean of its divisors is an integer number (612704736).

Almost surely, 222153705420 is an apocalyptic number.

22153705420 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 22153705420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29409827328).

22153705420 is an abundant number, since it is smaller than the sum of its proper divisors (36665949236).

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

22153705420 is a wasteful number, since it uses less digits than its factorization.

22153705420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202711 (or 202709 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 22153705420 in words is "twenty-two billion, one hundred fifty-three million, seven hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 71 77 110 140 142 154 220 284 308 355 385 497 710 770 781 994 1420 1540 1562 1988 2485 3124 3905 4970 5467 7810 9940 10934 15620 21868 27335 54670 109340 202613 405226 810452 1013065 1418291 2026130 2228743 2836582 4052260 4457486 5673164 7091455 8914972 11143715 14182910 14385523 15601201 22287430 28365820 28771046 31202402 44574860 57542092 62404804 71927615 78006005 100698661 143855230 156012010 158240753 201397322 287710460 312024020 316481506 402794644 503493305 632963012 791203765 1006986610 1107685271 1582407530 2013973220 2215370542 3164815060 4430741084 5538426355 11076852710 22153705420