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232513930224 = 243214910836779
BaseRepresentation
bin1101100010001011101…
…0010000001111110000
3211020011021222110211100
43120202322100033300
512302142031231344
6254452044244400
722540624540332
oct3304272201760
9736137873740
10232513930224
118a677063214
1239090540700
1318c06480144
14b37a365452
1560acb2b569
hex3622e903f0

232513930224 has 60 divisors (see below), whose sum is σ = 655083351000. Its totient is φ = 76984470912.

The previous prime is 232513930193. The next prime is 232513930241. The reversal of 232513930224 is 422039315232.

232513930224 is a `hidden beast` number, since 2 + 32 + 513 + 93 + 0 + 2 + 24 = 666.

It is a super-2 number, since 2×2325139302242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5396934 + ... + 5439845.

It is an arithmetic number, because the mean of its divisors is an integer number (10918055850).

Almost surely, 2232513930224 is an apocalyptic number.

232513930224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232513930224 is an abundant number, since it is smaller than the sum of its proper divisors (422569420776).

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

232513930224 is a wasteful number, since it uses less digits than its factorization.

232513930224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836942 (or 10836933 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 232513930224 in words is "two hundred thirty-two billion, five hundred thirteen million, nine hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 10836779 21673558 32510337 43347116 65020674 86694232 97531011 130041348 173388464 195062022 260082696 390124044 520165392 780248088 1560496176 1614680071 3229360142 4844040213 6458720284 9688080426 12917440568 14532120639 19376160852 25834881136 29064241278 38752321704 58128482556 77504643408 116256965112 232513930224