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225568587477072 = 24377180567117361
BaseRepresentation
bin110011010010011101000111…
…100001110111000001010000
31002120200010221200212020120110
4303102131013201313001100
5214031203431343231242
62115424440055041320
765340535610040240
oct6322350741670120
91076603850766513
10225568587477072
1165967112084a94
1221370853670240
1398b30463877a8
143d9b813a11b20
151b1285387039c
hexcd2747877050

225568587477072 has 160 divisors (see below), whose sum is σ = 675358318301184. Its totient is φ = 63539117107200.

The previous prime is 225568587477043. The next prime is 225568587477073. The reversal of 225568587477072 is 270774785865522.

It is a junction number, because it is equal to n+sod(n) for n = 225568587476985 and 225568587477003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225568587477073) 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, 1921947672 + ... + 1922065032.

Almost surely, 2225568587477072 is an apocalyptic number.

It is an amenable number.

225568587477072 is an abundant number, since it is smaller than the sum of its proper divisors (449789730824112).

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

225568587477072 is a wasteful number, since it uses less digits than its factorization.

225568587477072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198017 (or 198011 counting only the distinct ones).

The product of its (nonzero) digits is 3687936000, while the sum is 75.

The spelling of 225568587477072 in words is "two hundred twenty-five trillion, five hundred sixty-eight billion, five hundred eighty-seven million, four hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 11928 23856 80567 117361 161134 234722 241701 322268 352083 469444 483402 563969 644536 704166 821527 938888 966804 1127938 1289072 1408332 1643054 1691907 1877776 1933608 2255876 2464581 2816664 3286108 3383814 3867216 4511752 4929162 5633328 5720257 6572216 6767628 8332631 9023504 9858324 11440514 13144432 13535256 16665262 17160771 19716648 22881028 24997893 27070512 33330524 34321542 39433296 40041799 45762056 49995786 58328417 66661048 68643084 80083598 91524112 99991572 116656834 120125397 133322096 137286168 160167196 174985251 199983144 233313668 240250794 274572336 320334392 349970502 399966288 466627336 480501588 640668784 699941004 933254672 961003176 1399882008 1922006352 2799764016 9455423687 18910847374 28366271061 37821694748 56732542122 66187965809 75643389496 113465084244 132375931618 151286778992 198563897427 226930168488 264751863236 397127794854 453860336976 529503726472 671335081777 794255589708 1059007452944 1342670163554 1588511179416 2014005245331 2685340327108 3177022358832 4028010490662 4699345572439 5370680654216 8056020981324 9398691144878 10741361308432 14098036717317 16112041962648 18797382289756 28196073434634 32224083925296 37594764579512 56392146869268 75189529159024 112784293738536 225568587477072