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232012520 = 2354323137
BaseRepresentation
bin11011101010000…
…11101011101000
3121011120110100022
431311003223220
5433343400040
635004500012
75515034225
oct1565035350
9534513308
10232012520
11109a68493
126584a608
13390b531c
1422b5694c
151557e6b5
hexdd43ae8

232012520 has 48 divisors (see below), whose sum is σ = 534621060. Its totient is φ = 90617856.

The previous prime is 232012511. The next prime is 232012537. The reversal of 232012520 is 25210232.

232012520 = 21752 + 21762 + ... + 22222.

It can be written as a sum of positive squares in 2 ways, for example, as 211237156 + 20775364 = 14534^2 + 4558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72392 + ... + 75528.

Almost surely, 2232012520 is an apocalyptic number.

232012520 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 232012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267310530).

232012520 is an abundant number, since it is smaller than the sum of its proper divisors (302608540).

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

232012520 is a wasteful number, since it uses less digits than its factorization.

232012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 232012520 is about 15231.9571953180. The cubic root of 232012520 is about 614.4744182161.

Adding to 232012520 its reverse (25210232), we get a palindrome (257222752).

The spelling of 232012520 in words is "two hundred thirty-two million, twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1849 3137 3698 6274 7396 9245 12548 14792 15685 18490 25096 31370 36980 62740 73960 125480 134891 269782 539564 674455 1079128 1348910 2697820 5395640 5800313 11600626 23201252 29001565 46402504 58003130 116006260 232012520