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232013430 = 233511191409
BaseRepresentation
bin11011101010000…
…11111001110110
3121011120111121000
431311003321312
5433343412210
635004504130
75515036665
oct1565037166
9534514530
10232013430
11109a69140
126584b046
13390b586c
1422b56ddc
151557eac0
hexdd43e76

232013430 has 128 divisors (see below), whose sum is σ = 680140800. Its totient is φ = 55814400.

The previous prime is 232013417. The next prime is 232013461. The reversal of 232013430 is 34310232.

232013430 is a `hidden beast` number, since 2 + 320 + 1 + 343 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567066 + ... + 567474.

It is an arithmetic number, because the mean of its divisors is an integer number (5313600).

Almost surely, 2232013430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340070400).

232013430 is an abundant number, since it is smaller than the sum of its proper divisors (448127370).

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

232013430 is a wasteful number, since it uses less digits than its factorization.

232013430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232013430 is about 15231.9870666962. The cubic root of 232013430 is about 614.4752215794.

Adding to 232013430 its reverse (34310232), we get a palindrome (266323662).

The spelling of 232013430 in words is "two hundred thirty-two million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 191 198 270 297 330 382 409 495 573 594 818 955 990 1146 1227 1485 1719 1910 2045 2101 2454 2865 2970 3438 3681 4090 4202 4499 5157 5730 6135 6303 7362 8595 8998 10314 10505 11043 12270 12606 13497 17190 18405 18909 21010 22086 22495 25785 26994 31515 36810 37818 40491 44990 51570 55215 56727 63030 67485 78119 80982 94545 110430 113454 121473 134970 156238 189090 202455 234357 242946 283635 390595 404910 468714 567270 607365 703071 781190 859309 1171785 1214730 1406142 1718618 2109213 2343570 2577927 3515355 4218426 4296545 5155854 7030710 7733781 8593090 10546065 12889635 15467562 21092130 23201343 25779270 38668905 46402686 77337810 116006715 232013430