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232542224434432 = 2811174857583231
BaseRepresentation
bin110100110111111011110100…
…101011101100010100000000
31010111100211010110002220011001
4310313323310223230110000
5220434432433423400212
62142324231221101344
766660423050120023
oct6467736453542400
91114324113086131
10232542224434432
116810567036a190
12220b82a8557854
139c9a839c6aab3
14415d16484d1ba
151bd3e548a7657
hexd37ef4aec500

232542224434432 has 72 divisors (see below), whose sum is σ = 536160606815232. Its totient is φ = 99483304550400.

The previous prime is 232542224434393. The next prime is 232542224434441. The reversal of 232542224434432 is 234434422245232.

It is a super-2 number, since 2×2325422244344322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428743744 + ... + 2428839487.

It is an arithmetic number, because the mean of its divisors is an integer number (7446675094656).

Almost surely, 2232542224434432 is an apocalyptic number.

232542224434432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232542224434432 is an abundant number, since it is smaller than the sum of its proper divisors (303618382380800).

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

232542224434432 is a wasteful number, since it uses less digits than its factorization.

232542224434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857583275 (or 4857583261 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 46.

Adding to 232542224434432 its reverse (234434422245232), we get a palindrome (466976646679664).

The spelling of 232542224434432 in words is "two hundred thirty-two trillion, five hundred forty-two billion, two hundred twenty-four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 5984 11968 23936 47872 4857583231 9715166462 19430332924 38860665848 53433415541 77721331696 82578914927 106866831082 155442663392 165157829854 213733662164 310885326784 330315659708 427467324328 621770653568 660631319416 854934648656 908368064197 1243541307136 1321262638832 1709869297312 1816736128394 2642525277664 3419738594624 3633472256788 5285050555328 6839477189248 7266944513576 10570101110656 13678954378496 14533889027152 21140202221312 29067778054304 58135556108608 116271112217216 232542224434432