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232104024 = 233243611229
BaseRepresentation
bin11011101010110…
…10000001011000
3121011202002212100
431311122001120
5433404312044
635010443400
75515565055
oct1565320130
9534662770
10232104024
1110a020209
1265893560
1339117b79
1422b7c02c
151559b869
hexdd5a058

232104024 has 96 divisors (see below), whose sum is σ = 654310800. Its totient is φ = 74269440.

The previous prime is 232103999. The next prime is 232104029. The reversal of 232104024 is 420401232.

232104024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232103988 and 232104006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232104029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188242 + ... + 189470.

Almost surely, 2232104024 is an apocalyptic number.

232104024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327155400).

232104024 is an abundant number, since it is smaller than the sum of its proper divisors (422206776).

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

232104024 is a wasteful number, since it uses less digits than its factorization.

232104024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 232104024 is about 15234.9605841302. The cubic root of 232104024 is about 614.5551889679. Note that the first 3 decimals are identical.

Adding to 232104024 its reverse (420401232), we get a palindrome (652505256).

The spelling of 232104024 in words is "two hundred thirty-two million, one hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 61 72 86 122 129 172 183 244 258 344 366 387 488 516 549 732 774 1032 1098 1229 1464 1548 2196 2458 2623 3096 3687 4392 4916 5246 7374 7869 9832 10492 11061 14748 15738 20984 22122 23607 29496 31476 44244 47214 52847 62952 74969 88488 94428 105694 149938 158541 188856 211388 224907 299876 317082 422776 449814 475623 599752 634164 674721 899628 951246 1268328 1349442 1799256 1902492 2698884 3223667 3804984 5397768 6447334 9671001 12894668 19342002 25789336 29013003 38684004 58026006 77368008 116052012 232104024