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22122313024 = 267237190657
BaseRepresentation
bin10100100110100101…
…111011010101000000
32010002202000221101211
4110212211323111000
5330301303004044
614055101535504
71412132362300
oct244645732500
963082027354
1022122313024
119422518229
124354874594
1321172a8966
1410dc0dd600
1589723e634
hex52697b540

22122313024 has 84 divisors (see below), whose sum is σ = 52446583956. Its totient is φ = 9224699904.

The previous prime is 22122313013. The next prime is 22122313043. The reversal of 22122313024 is 42031322122.

It can be written as a sum of positive squares in 2 ways, for example, as 8332038400 + 13790274624 = 91280^2 + 117432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22122312986 and 22122313004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20704 + ... + 211360.

Almost surely, 222122313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26223291978).

22122313024 is an abundant number, since it is smaller than the sum of its proper divisors (30324270932).

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

22122313024 is a wasteful number, since it uses less digits than its factorization.

22122313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190720 (or 190703 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22122313024 its reverse (42031322122), we get a palindrome (64153635146).

The spelling of 22122313024 in words is "twenty-two billion, one hundred twenty-two million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 148 196 224 259 296 392 448 518 592 784 1036 1184 1568 1813 2072 2368 3136 3626 4144 7252 8288 14504 16576 29008 58016 116032 190657 381314 762628 1334599 1525256 2669198 3050512 5338396 6101024 7054309 9342193 10676792 12202048 14108618 18684386 21353584 28217236 37368772 42707168 49380163 56434472 74737544 85414336 98760326 112868944 149475088 197520652 225737888 298950176 345661141 395041304 451475776 597900352 691322282 790082608 1382644564 1580165216 2765289128 3160330432 5530578256 11061156512 22122313024