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232162076224 = 261324121132
BaseRepresentation
bin1101100000110111110…
…0000010011001000000
3211012020202220102212201
43120031330002121000
512300431442414344
6254353115002544
722526123042041
oct3301574023100
9735222812781
10232162076224
118a506492091
1238bb2739454
1318b7b5c8100
14b3457348c8
15608bcc84d4
hex360df02640

232162076224 has 189 divisors, whose sum is σ = 515889982569. Its totient is φ = 103613153280.

The previous prime is 232162076173. The next prime is 232162076227. The reversal of 232162076224 is 422670261232.

It is a happy number.

The square root of 232162076224 is 481832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 107694236224 + 124467840000 = 328168^2 + 352800^2 .

It is not an unprimeable number, because it can be changed into a prime (232162076227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2054531592 + ... + 2054531704.

Almost surely, 2232162076224 is an apocalyptic number.

232162076224 is the 481832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232162076224

232162076224 is an abundant number, since it is smaller than the sum of its proper divisors (283727906345).

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

232162076224 is an equidigital number, since it uses as much as digits as its factorization.

232162076224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 232162076224 in words is "two hundred thirty-two billion, one hundred sixty-two million, seventy-six thousand, two hundred twenty-four".