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223141335011232 = 25311530773981161
BaseRepresentation
bin110010101111001000100100…
…000000100000111110100000
31002021002002210022010022112220
4302233020210000200332200
5213221421423230324412
62110325414130551040
765000300204353041
oct6257104400407640
91067062708108486
10223141335011232
1165110788370970
122103a351738480
1397681a340a671
143d161537dc8c8
151abe64169468c
hexcaf224020fa0

223141335011232 has 96 divisors (see below), whose sum is σ = 639007840707264. Its totient is φ = 67617295411200.

The previous prime is 223141335011191. The next prime is 223141335011267. The reversal of 223141335011232 is 232110533141322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2231413350112323 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 223141335011193 and 223141335011202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54058732 + ... + 58039892.

It is an arithmetic number, because the mean of its divisors is an integer number (6656331674034).

Almost surely, 2223141335011232 is an apocalyptic number.

223141335011232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

223141335011232 is an abundant number, since it is smaller than the sum of its proper divisors (415866505696032).

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

223141335011232 is a wasteful number, since it uses less digits than its factorization.

223141335011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034262 (or 4034254 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 223141335011232 its reverse (232110533141322), we get a palindrome (455251868152554).

The spelling of 223141335011232 in words is "two hundred twenty-three trillion, one hundred forty-one billion, three hundred thirty-five million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 53077 106154 159231 212308 318462 424616 583847 636924 849232 1167694 1273848 1698464 1751541 2335388 2547696 3503082 3981161 4670776 5095392 7006164 7962322 9341552 11943483 14012328 15924644 18683104 23886966 28024656 31849288 43792771 47773932 56049312 63698576 87585542 95547864 127397152 131378313 175171084 191095728 262756626 350342168 382191456 525513252 700684336 1051026504 1401368672 2102053008 4204106016 211308082397 422616164794 633924247191 845232329588 1267848494382 1690464659176 2324388906367 2535696988764 3380929318352 4648777812734 5071393977528 6761858636704 6973166719101 9297555625468 10142787955056 13946333438202 18595111250936 20285575910112 27892666876404 37190222501872 55785333752808 74380445003744 111570667505616 223141335011232