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22072345614 = 23811295273
BaseRepresentation
bin10100100011100111…
…010100010000001110
32002222021000100000000
4110203213110100032
5330201010024424
614050114545130
71410654561564
oct244347242016
962867010000
1022072345614
1193a7299a50
12433bb981a6
132109b32347
1410d5613a34
15892b6e3c9
hex5239d440e

22072345614 has 144 divisors (see below), whose sum is σ = 56053548720. Its totient is φ = 6456723840.

The previous prime is 22072345579. The next prime is 22072345639. The reversal of 22072345614 is 41654327022.

22072345614 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 2 + 34 + 5 + 614 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4183282 + ... + 4188554.

It is an arithmetic number, because the mean of its divisors is an integer number (389260755).

Almost surely, 222072345614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22072345614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026774360).

22072345614 is an abundant number, since it is smaller than the sum of its proper divisors (33981203106).

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

22072345614 is an equidigital number, since it uses as much as digits as its factorization.

22072345614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 22072345614 in words is "twenty-two billion, seventy-two million, three hundred forty-five thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 243 261 297 319 486 522 594 638 729 783 891 957 1458 1566 1782 1914 2187 2349 2673 2871 4374 4698 5273 5346 5742 6561 7047 8019 8613 10546 13122 14094 15819 16038 17226 21141 24057 25839 31638 42282 47457 48114 51678 58003 63423 72171 77517 94914 116006 126846 142371 144342 152917 155034 174009 190269 232551 284742 305834 348018 380538 427113 458751 465102 522027 697653 854226 917502 1044054 1281339 1376253 1395306 1566081 1682087 2092959 2562678 2752506 3132162 3364174 3844017 4128759 4185918 4698243 5046261 7688034 8257518 9396486 10092522 11532051 12386277 14094729 15138783 23064102 24772554 28189458 30277566 34596153 37158831 42284187 45416349 69192306 74317662 84568374 90832698 111476493 126852561 136249047 222952986 253705122 272498094 334429479 380557683 408747141 668858958 761115366 817494282 1003288437 1226241423 2006576874 2452482846 3678724269 7357448538 11036172807 22072345614