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232115430 = 23537792647
BaseRepresentation
bin11011101010111…
…00110011100110
3121011202200111210
431311130303212
5433410143210
635011012250
75515643241
oct1565346346
9534680453
10232115430
1110a028838
126589a086
1339120111
1422b82258
151559ee20
hexdd5cce6

232115430 has 64 divisors (see below), whose sum is σ = 579594240. Its totient is φ = 59439744.

The previous prime is 232115407. The next prime is 232115437. The reversal of 232115430 is 34511232.

It is a junction number, because it is equal to n+sod(n) for n = 232115397 and 232115406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232115437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 86367 + ... + 89013.

It is an arithmetic number, because the mean of its divisors is an integer number (9056160).

Almost surely, 2232115430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232115430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289797120).

232115430 is an abundant number, since it is smaller than the sum of its proper divisors (347478810).

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

232115430 is a wasteful number, since it uses less digits than its factorization.

232115430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 232115430 is about 15235.3349159118. The cubic root of 232115430 is about 614.5652555773.

Adding to 232115430 its reverse (34511232), we get a palindrome (266626662).

The spelling of 232115430 in words is "two hundred thirty-two million, one hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 79 111 158 185 222 237 370 395 474 555 790 1110 1185 2370 2647 2923 5294 5846 7941 8769 13235 14615 15882 17538 26470 29230 39705 43845 79410 87690 97939 195878 209113 293817 418226 489695 587634 627339 979390 1045565 1254678 1469085 2091130 2938170 3136695 6273390 7737181 15474362 23211543 38685905 46423086 77371810 116057715 232115430