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22320211122 = 2341179331479
BaseRepresentation
bin10100110010011000…
…110110010010110010
32010121112102012120000
4110302120312102302
5331202433223442
614130451330430
71420054443546
oct246230662262
963545365500
1022320211122
1195141a4a80
1243aabb0a16
1321492a8321
14111a4d5a26
158a97d0d4c
hex5326364b2

22320211122 has 160 divisors (see below), whose sum is σ = 55533772800. Its totient is φ = 6644008800.

The previous prime is 22320211099. The next prime is 22320211157. The reversal of 22320211122 is 22111202322.

It is a super-3 number, since 3×223202111223 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22320211095 and 22320211104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46597279 + ... + 46597757.

It is an arithmetic number, because the mean of its divisors is an integer number (347086080).

Almost surely, 222320211122 is an apocalyptic number.

22320211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27766886400).

22320211122 is an abundant number, since it is smaller than the sum of its proper divisors (33213561678).

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

22320211122 is a wasteful number, since it uses less digits than its factorization.

22320211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22320211122 its reverse (22111202322), we get a palindrome (44431413444).

The spelling of 22320211122 in words is "twenty-two billion, three hundred twenty million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 158 162 198 237 297 331 474 479 594 662 711 869 891 958 993 1422 1437 1738 1782 1986 2133 2607 2874 2979 3641 4266 4311 5214 5269 5958 6399 7282 7821 8622 8937 10538 10923 12798 12933 15642 15807 17874 21846 23463 25866 26149 26811 31614 32769 37841 38799 46926 47421 52298 53622 65538 70389 75682 77598 78447 94842 98307 113523 140778 142263 156894 158549 196614 227046 235341 284526 287639 294921 317098 340569 416251 426789 470682 475647 575278 589842 681138 706023 832502 853578 862917 951294 1021707 1248753 1412046 1426941 1725834 1744039 2043414 2118069 2497506 2588751 2853882 3065121 3488078 3746259 4236138 4280823 5177502 5232117 6130242 7492518 7766253 8561646 10464234 11238777 12525371 12842469 15532506 15696351 22477554 23298759 25050742 25684938 31392702 33716331 37576113 46597518 47089053 67432662 75152226 94178106 112728339 137779081 141267159 225456678 275558162 282534318 338185017 413337243 676370034 826674486 1014555051 1240011729 2029110102 2480023458 3720035187 7440070374 11160105561 22320211122