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232564024 = 237112231693
BaseRepresentation
bin11011101110010…
…10010100111000
3121012121110212101
431313022110320
5434014022044
635024353144
75522522140
oct1567122470
9535543771
10232564024
1110a304880
1265a757b4
1339249364
1422c5b920
151563ccd4
hexddca538

232564024 has 64 divisors (see below), whose sum is σ = 546416640. Its totient is φ = 90149760.

The previous prime is 232564001. The next prime is 232564027. The reversal of 232564024 is 420465232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 232563983 and 232564001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232564027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136522 + ... + 138214.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2232564024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232564024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273208320).

232564024 is an abundant number, since it is smaller than the sum of its proper divisors (313852616).

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

232564024 is a wasteful number, since it uses less digits than its factorization.

232564024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 232564024 is about 15250.0499671313. The cubic root of 232564024 is about 614.9609105523.

The spelling of 232564024 in words is "two hundred thirty-two million, five hundred sixty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 223 308 446 616 892 1561 1693 1784 2453 3122 3386 4906 6244 6772 9812 11851 12488 13544 17171 18623 19624 23702 34342 37246 47404 68684 74492 94808 130361 137368 148984 260722 377539 521444 755078 1042888 1510156 2642773 3020312 4152929 5285546 8305858 10571092 16611716 21142184 29070503 33223432 58141006 116282012 232564024