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22090362880 = 21252322039
BaseRepresentation
bin10100100100101100…
…000011000000000000
32010000111220201001011
4110210230003000000
5330220113103010
614052001050304
71411263662215
oct244454030000
963014821034
1022090362880
119406485653
124346026994
1321107a0151
1410d7b83b0c
1589452ca8a
hex524b03000

22090362880 has 156 divisors (see below), whose sum is σ = 55442585520. Its totient is φ = 8447819776.

The previous prime is 22090362859. The next prime is 22090362883. The reversal of 22090362880 is 8826309022.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22090362883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10832901 + ... + 10834939.

Almost surely, 222090362880 is an apocalyptic number.

22090362880 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 22090362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27721292760).

22090362880 is an abundant number, since it is smaller than the sum of its proper divisors (33352222640).

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

22090362880 is an equidigital number, since it uses as much as digits as its factorization.

22090362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 22090362880 in words is "twenty-two billion, ninety million, three hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 529 640 736 920 1024 1058 1280 1472 1840 2039 2048 2116 2560 2645 2944 3680 4078 4096 4232 5120 5290 5888 7360 8156 8464 10195 10240 10580 11776 14720 16312 16928 20390 20480 21160 23552 29440 32624 33856 40780 42320 46897 47104 58880 65248 67712 81560 84640 93794 94208 117760 130496 135424 163120 169280 187588 234485 235520 260992 270848 326240 338560 375176 468970 471040 521984 541696 652480 677120 750352 937940 1043968 1078631 1083392 1304960 1354240 1500704 1875880 2087936 2157262 2166784 2609920 2708480 3001408 3751760 4175872 4314524 5219840 5393155 5416960 6002816 7503520 8351744 8629048 10439680 10786310 10833920 12005632 15007040 17258096 20879360 21572620 24011264 30014080 34516192 41758720 43145240 48022528 60028160 69032384 86290480 96045056 120056320 138064768 172580960 192090112 240112640 276129536 345161920 480225280 552259072 690323840 960450560 1104518144 1380647680 2209036288 2761295360 4418072576 5522590720 11045181440 22090362880