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22345024032 = 2532233373343
BaseRepresentation
bin10100110011110111…
…100000001000100000
32010200021002211110200
4110303313200020200
5331230311232112
614133135225200
71420505366442
oct246367401040
963607084420
1022345024032
119527202311
1243b7378200
132151485316
14111d914492
158aba82cdc
hex533de0220

22345024032 has 72 divisors (see below), whose sum is σ = 66306449664. Its totient is φ = 7124498304.

The previous prime is 22345024027. The next prime is 22345024057. The reversal of 22345024032 is 23042054322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×223450240323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22345023987 and 22345024005.

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, 1680048 + ... + 1693295.

It is an arithmetic number, because the mean of its divisors is an integer number (920922912).

Almost surely, 222345024032 is an apocalyptic number.

It is an amenable number.

22345024032 is an abundant number, since it is smaller than the sum of its proper divisors (43961425632).

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

22345024032 is a wasteful number, since it uses less digits than its factorization.

22345024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373382 (or 3373371 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22345024032 its reverse (23042054322), we get a palindrome (45387078354).

The spelling of 22345024032 in words is "twenty-two billion, three hundred forty-five million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 3373343 6746686 10120029 13493372 20240058 26986744 30360087 40480116 53973488 60720174 77586889 80960232 107946976 121440348 155173778 161920464 232760667 242880696 310347556 323840928 465521334 485761392 620695112 698282001 931042668 971522784 1241390224 1396564002 1862085336 2482780448 2793128004 3724170672 5586256008 7448341344 11172512016 22345024032