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23222213120 = 295231812179
BaseRepresentation
bin10101101000001001…
…101101101000000000
32012221101200122200102
4111220021231220000
5340024341304440
614400152341532
71451316361151
oct255011555000
965841618612
1023222213120
119937374477
1246010a48a8
132261123012
1411a4213928
1590daa5b15
hex56826da00

23222213120 has 160 divisors (see below), whose sum is σ = 58447509120. Its totient is φ = 8831877120.

The previous prime is 23222213093. The next prime is 23222213137. The reversal of 23222213120 is 2131222232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23222213092 and 23222213101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10656191 + ... + 10658369.

It is an arithmetic number, because the mean of its divisors is an integer number (365296932).

Almost surely, 223222213120 is an apocalyptic number.

23222213120 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 23222213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29223754560).

23222213120 is an abundant number, since it is smaller than the sum of its proper divisors (35225296000).

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

23222213120 is a wasteful number, since it uses less digits than its factorization.

23222213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23222213120 its reverse (2131222232), we get a palindrome (25353435352).

The spelling of 23222213120 in words is "twenty-three billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 181 184 230 256 320 362 368 460 512 640 724 736 905 920 1280 1448 1472 1810 1840 2179 2560 2896 2944 3620 3680 4163 4358 5792 5888 7240 7360 8326 8716 10895 11584 11776 14480 14720 16652 17432 20815 21790 23168 28960 29440 33304 34864 41630 43580 46336 50117 57920 58880 66608 69728 83260 87160 92672 100234 115840 133216 139456 166520 174320 200468 231680 250585 266432 278912 333040 348640 394399 400936 463360 501170 532864 557824 666080 697280 788798 801872 1002340 1065728 1115648 1332160 1394560 1577596 1603744 1971995 2004680 2131456 2664320 2789120 3155192 3207488 3943990 4009360 5328640 5578240 6310384 6414976 7887980 8018720 9071177 10657280 12620768 12829952 15775960 16037440 18142354 25241536 25659904 31551920 32074880 36284708 45355885 50483072 63103840 64149760 72569416 90711770 100966144 126207680 128299520 145138832 181423540 201932288 252415360 290277664 362847080 504830720 580555328 725694160 1009661440 1161110656 1451388320 2322221312 2902776640 4644442624 5805553280 11611106560 23222213120