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232013730 = 235133671621
BaseRepresentation
bin11011101010000…
…11111110100010
3121011120112000010
431311003332202
5433343414410
635004505350
75515040604
oct1565037642
9534515003
10232013730
11109a69393
126584b256
13390b5a40
1422b57174
151557ec20
hexdd43fa2

232013730 has 64 divisors (see below), whose sum is σ = 601671168. Its totient is φ = 56920320.

The previous prime is 232013723. The next prime is 232013737. The reversal of 232013730 is 37310232.

It is an interprime number because it is at equal distance from previous prime (232013723) and next prime (232013737).

It is a junction number, because it is equal to n+sod(n) for n = 232013697 and 232013706.

It is not an unprimeable number, because it can be changed into a prime (232013737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142320 + ... + 143940.

It is an arithmetic number, because the mean of its divisors is an integer number (9401112).

Almost surely, 2232013730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232013730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300835584).

232013730 is an abundant number, since it is smaller than the sum of its proper divisors (369657438).

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

232013730 is a wasteful number, since it uses less digits than its factorization.

232013730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 232013730 is about 15231.9969143904. The cubic root of 232013730 is about 614.4754864239.

Adding to 232013730 its reverse (37310232), we get a palindrome (269323962).

The spelling of 232013730 in words is "two hundred thirty-two million, thirteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 367 390 734 1101 1621 1835 2202 3242 3670 4771 4863 5505 8105 9542 9726 11010 14313 16210 21073 23855 24315 28626 42146 47710 48630 63219 71565 105365 126438 143130 210730 316095 594907 632190 1189814 1784721 2974535 3569442 5949070 7733791 8923605 15467582 17847210 23201373 38668955 46402746 77337910 116006865 232013730