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22368072402 = 2341323492341
BaseRepresentation
bin10100110101001111…
…011011001011010010
32010201212110210220000
4110311033123023102
5331302211304102
614135321230430
71421205323034
oct246517331322
963655423800
1022368072402
119539214955
124403032416
132156195100
1411229d3c54
158adad701c
hex5353db2d2

22368072402 has 120 divisors (see below), whose sum is σ = 54451851300. Its totient is φ = 6859831680.

The previous prime is 22368072367. The next prime is 22368072421. The reversal of 22368072402 is 20427086322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7007196681 + 15360875721 = 83709^2 + 123939^2 .

It is a super-2 number, since 2×223680724022 (a number of 22 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 59 ways as a sum of consecutive naturals, for example, 9553752 + ... + 9556092.

Almost surely, 222368072402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22368072402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225925650).

22368072402 is an abundant number, since it is smaller than the sum of its proper divisors (32083778898).

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

22368072402 is a wasteful number, since it uses less digits than its factorization.

22368072402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22368072402 in words is "twenty-two billion, three hundred sixty-eight million, seventy-two thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 349 351 507 698 702 1014 1047 1053 1521 2094 2106 2341 3042 3141 4537 4563 4682 6282 7023 9074 9126 9423 13611 13689 14046 18846 21069 27222 27378 28269 30433 40833 42138 56538 58981 60866 63207 81666 91299 117962 122499 126414 176943 182598 189621 244998 273897 353886 367497 379242 395629 530829 547794 734994 791258 817009 821691 1061658 1186887 1592487 1634018 1643382 2373774 2451027 2465073 3184974 3560661 4777461 4902054 4930146 7121322 7353081 9554922 10621117 10681983 14706162 21242234 21363966 22059243 31863351 32045949 44118486 63726702 64091898 66177729 95590053 132355458 138074521 191180106 276149042 286770159 414223563 573540318 828447126 860310477 1242670689 1720620954 2485341378 3728012067 7456024134 11184036201 22368072402