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232152311252000 = 255372533800161
BaseRepresentation
bin110100110010010000101100…
…000010111100010000100000
31010102222112200201122221121002
4310302100230002330100200
5220412040413140031000
62141425144404251132
766620310455550266
oct6462205402742040
91112875621587532
10232152311252000
1167a7527355a157
122205480b3a0aa8
139c6cb3b2c6479
14414833616c436
151bc8c337ba8d5
hexd3242c0bc420

232152311252000 has 96 divisors (see below), whose sum is σ = 570406805592624. Its totient is φ = 92859528192000.

The previous prime is 232152311251981. The next prime is 232152311252027. The reversal of 232152311252000 is 252113251232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 423420901264 + 231728890350736 = 650708^2 + 15222644^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289731920 + ... + 290532080.

Almost surely, 2232152311252000 is an apocalyptic number.

232152311252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232152311252000 is an abundant number, since it is smaller than the sum of its proper divisors (338254494340624).

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

232152311252000 is an equidigital number, since it uses as much as digits as its factorization.

232152311252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872719 (or 872701 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 232152311252000 in words is "two hundred thirty-two trillion, one hundred fifty-two billion, three hundred eleven million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 72533 145066 290132 362665 580264 725330 800161 1160528 1450660 1600322 1813325 2321056 2901320 3200644 3626650 4000805 5802640 6401288 7253300 8001610 9066625 11605280 12802576 14506600 16003220 18133250 20004025 25605152 29013200 32006440 36266500 40008050 58026400 64012880 72533000 80016100 100020125 128025760 145066000 160032200 200040250 290132000 320064400 400080500 640128800 800161000 1600322000 3200644000 58038077813 116076155626 232152311252 290190389065 464304622504 580380778130 928609245008 1160761556260 1450951945325 1857218490016 2321523112520 2901903890650 4643046225040 5803807781300 7254759726625 9286092450080 11607615562600 14509519453250 23215231125200 29019038906500 46430462250400 58038077813000 116076155626000 232152311252000