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22792232904 = 23372343137177
BaseRepresentation
bin10101001110100001…
…011101111111001000
32011211102121101201020
4111032201131333020
5333134302423104
614245352352440
71434545532420
oct251641357710
964742541636
1022792232904
119736691a21
1245010a5720
1321c301575c
141163087480
158d5e6e2d9
hex54e85dfc8

22792232904 has 128 divisors (see below), whose sum is σ = 69532784640. Its totient is φ = 6084029952.

The previous prime is 22792232899. The next prime is 22792232923. The reversal of 22792232904 is 40923229722.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 97564 + ... + 234740.

It is an arithmetic number, because the mean of its divisors is an integer number (543224880).

Almost surely, 222792232904 is an apocalyptic number.

22792232904 is a gapful number since it is divisible by the number (24) 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 22792232904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34766392320).

22792232904 is an abundant number, since it is smaller than the sum of its proper divisors (46740551736).

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

22792232904 is a wasteful number, since it uses less digits than its factorization.

22792232904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137259 (or 137255 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 22792232904 in words is "twenty-two billion, seven hundred ninety-two million, two hundred thirty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 43 46 56 69 84 86 92 129 138 161 168 172 184 258 276 301 322 344 483 516 552 602 644 903 966 989 1032 1204 1288 1806 1932 1978 2408 2967 3612 3864 3956 5934 6923 7224 7912 11868 13846 20769 23736 27692 41538 55384 83076 137177 166152 274354 411531 548708 823062 960239 1097416 1646124 1920478 2880717 3155071 3292248 3840956 5761434 5898611 6310142 7681912 9465213 11522868 11797222 12620284 17695833 18930426 22085497 23045736 23594444 25240568 35391666 37860852 41290277 44170994 47188888 66256491 70783332 75721704 82580554 88341988 123870831 132512982 135668053 141566664 165161108 176683976 247741662 265025964 271336106 330322216 407004159 495483324 530051928 542672212 814008318 949676371 990966648 1085344424 1628016636 1899352742 2849029113 3256033272 3798705484 5698058226 7597410968 11396116452 22792232904