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232966240 = 25513313613
BaseRepresentation
bin11011110001011…
…00100001100000
3121020100220121021
431320230201200
5434114404430
635041135224
75526115603
oct1570544140
9536326537
10232966240
1110a559a91
126602a514
133935a460
1422d2433a
15156bc07a
hexde2c860

232966240 has 96 divisors (see below), whose sum is σ = 612009216. Its totient is φ = 83220480.

The previous prime is 232966199. The next prime is 232966291. The reversal of 232966240 is 42669232.

It is a happy number.

232966240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232966196 and 232966205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62674 + ... + 66286.

It is an arithmetic number, because the mean of its divisors is an integer number (6375096).

Almost surely, 2232966240 is an apocalyptic number.

232966240 is a gapful number since it is divisible by the number (20) 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 232966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306004608).

232966240 is an abundant number, since it is smaller than the sum of its proper divisors (379042976).

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

232966240 is a wasteful number, since it uses less digits than its factorization.

232966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 232966240 is about 15263.2316368455. The cubic root of 232966240 is about 615.3152282664.

The spelling of 232966240 in words is "two hundred thirty-two million, nine hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 2015 2080 2480 3224 3613 4030 4960 6448 7226 8060 12896 14452 16120 18065 28904 32240 36130 46969 57808 64480 72260 93938 112003 115616 144520 187876 224006 234845 289040 375752 448012 469690 560015 578080 751504 896024 939380 1120030 1456039 1503008 1792048 1878760 2240060 2912078 3584096 3757520 4480120 5824156 7280195 7515040 8960240 11648312 14560390 17920480 23296624 29120780 46593248 58241560 116483120 232966240