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220201424004024 = 233289178919208227
BaseRepresentation
bin110010000100010110100011…
…101010000010001110111000
31001212200001100211220011000100
4302010112203222002032320
5212330240004021112044
62100155045423035400
764245012364202601
oct6204264352021670
91055601324804010
10220201424004024
1164187999235911
122084461743bb60
1395b3b9c8c62c8
143c53b3d122da8
151a6ce273d1869
hexc845a3a823b8

220201424004024 has 96 divisors (see below), whose sum is σ = 603416878506000. Its totient is φ = 72535178681856.

The previous prime is 220201424004019. The next prime is 220201424004101. The reversal of 220201424004024 is 420400424102022.

220201424004024 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 0 + 14 + 240 + 0 + 402 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1859799 + ... + 21068025.

Almost surely, 2220201424004024 is an apocalyptic number.

220201424004024 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 220201424004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301708439253000).

220201424004024 is an abundant number, since it is smaller than the sum of its proper divisors (383215454501976).

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

220201424004024 is a wasteful number, since it uses less digits than its factorization.

220201424004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19210117 (or 19210110 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 220201424004024 its reverse (420400424102022), we get a palindrome (640601848106046).

The spelling of 220201424004024 in words is "two hundred twenty trillion, two hundred one billion, four hundred twenty-four million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 1789 2136 3204 3578 5367 6408 7156 10734 14312 16101 21468 32202 42936 64404 128808 159221 318442 477663 636884 955326 1273768 1432989 1910652 2865978 3821304 5731956 11463912 19208227 38416454 57624681 76832908 115249362 153665816 172874043 230498724 345748086 460997448 691496172 1382992344 1709532203 3419064406 5128596609 6838128812 10257193218 13676257624 15385789827 20514386436 30771579654 34363518103 41028772872 61543159308 68727036206 103090554309 123086318616 137454072412 206181108618 274908144824 309271662927 412362217236 618543325854 824724434472 1237086651708 2474173303416 3058353111167 6116706222334 9175059333501 12233412444668 18350118667002 24466824889336 27525178000503 36700237334004 55050356001006 73400474668008 110100712002012 220201424004024