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22425131023032 = 23317797449315349
BaseRepresentation
bin1010001100101010000011…
…11101111111101010111000
32221101211011221022222020110
411012111001331333222320
510414403132020214112
6115405544000224320
74503106436423463
oct506250175775270
987354157288213
1022425131023032
117166498927841
12262218300b0a0
13c688b08a5c6a
1457754c8022da
1528d4e0bb113c
hex146541f7fab8

22425131023032 has 128 divisors (see below), whose sum is σ = 59452222536000. Its totient is φ = 7024486391808.

The previous prime is 22425131023021. The next prime is 22425131023039. The reversal of 22425131023032 is 23032013152422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22425131023039) 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, 1461008094 + ... + 1461023442.

Almost surely, 222425131023032 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 22425131023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29726111268000).

22425131023032 is an abundant number, since it is smaller than the sum of its proper divisors (37027091512968).

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

22425131023032 is a wasteful number, since it uses less digits than its factorization.

22425131023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20665 (or 20661 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 22425131023032 its reverse (23032013152422), we get a palindrome (45457144175454).

The spelling of 22425131023032 in words is "twenty-two trillion, four hundred twenty-five billion, one hundred thirty-one million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 797 1594 2391 3188 4493 4782 6376 8986 9564 13479 13549 15349 17972 19128 26958 27098 30698 35944 40647 46047 53916 54196 61396 76381 81294 92094 107832 108392 122792 152762 162588 184188 229143 260933 305524 325176 368376 458286 521866 611048 782799 916572 1043732 1565598 1833144 2087464 3131196 3580921 6262392 7161842 10742763 12233153 14323684 21485526 24466306 28647368 36699459 42971052 48932612 60875657 68963057 73398918 85942104 97865224 121751314 137926114 146797836 182626971 206889171 207963601 243502628 275852228 293595672 365253942 413778342 415927202 487005256 551704456 623890803 730507884 827556684 831854404 1172371969 1247781606 1461015768 1655113368 1663708808 2344743938 2495563212 3517115907 4689487876 4991126424 7034231814 9378975752 14068463628 28136927256 54963556429 109927112858 164890669287 219854225716 329781338574 439708451432 659562677148 934380459293 1319125354296 1868760918586 2803141377879 3737521837172 5606282755758 7475043674344 11212565511516 22425131023032