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232221050413533 = 323115125121960727
BaseRepresentation
bin110100110011010000101101…
…001110000010000111011101
31010110020010010021112011020200
4310303100231032002013131
5220414202202401213113
62141520513335134113
766625263053023116
oct6463205516020735
91113203107464220
10232221050413533
1167aa1437a71665
1222065bb3b14339
139c76474467b4c
14414b7b753920d
151bca908374873
hexd3342d3821dd

232221050413533 has 48 divisors (see below), whose sum is σ = 349932429729792. Its totient is φ = 148234900500000.

The previous prime is 232221050413511. The next prime is 232221050413643. The reversal of 232221050413533 is 335314050122232.

232221050413533 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 10 + 504 + 135 + 3 + 3 = 666.

It is not a de Polignac number, because 232221050413533 - 210 = 232221050412509 is a prime.

It is a super-2 number, since 2×2322210504135332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232221050403533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405985 + ... + 21554742.

It is an arithmetic number, because the mean of its divisors is an integer number (7290258952704).

Almost surely, 2232221050413533 is an apocalyptic number.

It is an amenable number.

232221050413533 is a deficient number, since it is larger than the sum of its proper divisors (117711379316259).

232221050413533 is a wasteful number, since it uses less digits than its factorization.

232221050413533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21961166 (or 21961163 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 232221050413533 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, fifty million, four hundred thirteen thousand, five hundred thirty-three".

Divisors: 1 3 9 31 93 151 251 279 453 753 1359 2259 4681 7781 14043 23343 37901 42129 70029 113703 341109 1174931 3524793 10574379 21960727 65882181 197646543 680782537 2042347611 3316069777 5512142477 6127042833 9948209331 16536427431 29844627993 49609282293 102798163087 170876416787 308394489261 512629250361 832333514027 925183467783 1537887751083 2497000542081 7491001626243 25802338934837 77407016804511 232221050413533