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22532425104 = 2437294156401
BaseRepresentation
bin10100111111000010…
…011000010110010000
32011011022201210102010
4110333002120112100
5332121300100404
614203512022520
71425242311320
oct247702302620
964138653363
1022532425104
119612a6a532
12444a091a40
13218124ab27
14113a777280
158bd24e189
hex53f098590

22532425104 has 160 divisors (see below), whose sum is σ = 70497987840. Its totient is φ = 6064128000.

The previous prime is 22532425103. The next prime is 22532425117. The reversal of 22532425104 is 40152423522.

It is not an unprimeable number, because it can be changed into a prime (22532425103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371304 + ... + 427704.

It is an arithmetic number, because the mean of its divisors is an integer number (440612424).

Almost surely, 222532425104 is an apocalyptic number.

22532425104 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 22532425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35248993920).

22532425104 is an abundant number, since it is smaller than the sum of its proper divisors (47965562736).

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

22532425104 is a wasteful number, since it uses less digits than its factorization.

22532425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56489 (or 56483 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 22532425104 its reverse (40152423522), we get a palindrome (62684848626).

The spelling of 22532425104 in words is "twenty-two billion, five hundred thirty-two million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 41 42 48 56 58 82 84 87 112 116 123 164 168 174 203 232 246 287 328 336 348 406 464 492 574 609 656 696 812 861 984 1148 1189 1218 1392 1624 1722 1968 2296 2378 2436 3248 3444 3567 4592 4756 4872 6888 7134 8323 9512 9744 13776 14268 16646 19024 24969 28536 33292 49938 56401 57072 66584 99876 112802 133168 169203 199752 225604 338406 394807 399504 451208 676812 789614 902416 1184421 1353624 1579228 1635629 2312441 2368842 2707248 3158456 3271258 4624882 4737684 4906887 6316912 6542516 6937323 9249764 9475368 9813774 11449403 13085032 13874646 16187087 18499528 18950736 19627548 22898806 26170064 27749292 32374174 34348209 36999056 39255096 45797612 48561261 55498584 64748348 67060789 68696418 78510192 91595224 97122522 110997168 129496696 134121578 137392836 183190448 194245044 201182367 258993392 268243156 274785672 388490088 402364734 469425523 536486312 549571344 776980176 804729468 938851046 1072972624 1408276569 1609458936 1877702092 2816553138 3218917872 3755404184 5633106276 7510808368 11266212552 22532425104