Search a number
-
+
232930292 = 227233111163
BaseRepresentation
bin11011110001000…
…11101111110100
3121020022002021212
431320203233310
5434112232132
635040300552
75525606030
oct1570435764
9536262255
10232930292
1110a534a81
1266011758
1339346c9a
1422d151c0
15156b15b2
hexde23bf4

232930292 has 48 divisors (see below), whose sum is σ = 488097792. Its totient is φ = 95098080.

The previous prime is 232930267. The next prime is 232930297. The reversal of 232930292 is 292039232.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232930297) 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 15 ways as a sum of consecutive naturals, for example, 199703 + ... + 200865.

It is an arithmetic number, because the mean of its divisors is an integer number (10168704).

Almost surely, 2232930292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232930292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244048896).

232930292 is an abundant number, since it is smaller than the sum of its proper divisors (255167500).

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

232930292 is a wasteful number, since it uses less digits than its factorization.

232930292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 232930292 is about 15262.0539902072. The cubic root of 232930292 is about 615.2835777725.

The spelling of 232930292 in words is "two hundred thirty-two million, nine hundred thirty thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 311 322 622 644 1163 1244 2177 2326 4354 4652 7153 8141 8708 14306 16282 26749 28612 32564 50071 53498 100142 106996 187243 200284 361693 374486 723386 748972 1446772 2531851 5063702 8318939 10127404 16637878 33275756 58232573 116465146 232930292