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232624908201 = 3790431224967
BaseRepresentation
bin1101100010100110000…
…1100110011110101001
3211020110000210201222210
43120221201212132221
512302403434030301
6254511051035333
722543443044310
oct3305141463651
9736400721883
10232624908201
118a723772654
123910173bb49
1318c2346869a
14b38adb3277
1560b774dad6
hex36298667a9

232624908201 has 16 divisors (see below), whose sum is σ = 354515538944. Its totient is φ = 132913710864.

The previous prime is 232624908163. The next prime is 232624908203. The reversal of 232624908201 is 102809426232.

232624908201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232624908201 - 27 = 232624908073 is a prime.

It is a super-3 number, since 3×2326249082013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 232624908201.

It is not an unprimeable number, because it can be changed into a prime (232624908203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422581 + ... + 802386.

It is an arithmetic number, because the mean of its divisors is an integer number (22157221184).

Almost surely, 2232624908201 is an apocalyptic number.

232624908201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232624908201 is a deficient number, since it is larger than the sum of its proper divisors (121890630743).

232624908201 is a wasteful number, since it uses less digits than its factorization.

232624908201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234020.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 232624908201 in words is "two hundred thirty-two billion, six hundred twenty-four million, nine hundred eight thousand, two hundred one".

Divisors: 1 3 7 21 9043 27129 63301 189903 1224967 3674901 8574769 25724307 11077376581 33232129743 77541636067 232624908201