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232314330 = 2351931129
BaseRepresentation
bin11011101100011…
…01010111011010
3121012010210100110
431312031113122
5433433024310
635015145150
75520432153
oct1566152732
9535123313
10232314330
1110a154216
12659751b6
133918c801
1422bd492a
15155ddd20
hexdd8d5da

232314330 has 64 divisors (see below), whose sum is σ = 589046400. Its totient is φ = 58637952.

The previous prime is 232314319. The next prime is 232314353. The reversal of 232314330 is 33413232.

It is a junction number, because it is equal to n+sod(n) for n = 232314297 and 232314306.

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 31 ways as a sum of consecutive naturals, for example, 205206 + ... + 206334.

It is an arithmetic number, because the mean of its divisors is an integer number (9203850).

Almost surely, 2232314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294523200).

232314330 is an abundant number, since it is smaller than the sum of its proper divisors (356732070).

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

232314330 is a wasteful number, since it uses less digits than its factorization.

232314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 232314330 is about 15241.8611068334. The cubic root of 232314330 is about 614.7407460375.

Adding to 232314330 its reverse (33413232), we get a palindrome (265727562).

It can be divided in two parts, 2323 and 14330, that added together give a triangular number (16653 = T182).

The spelling of 232314330 in words is "two hundred thirty-two million, three hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1129 1805 2166 2258 3387 3610 5415 5645 6774 6859 10830 11290 13718 16935 20577 21451 33870 34295 41154 42902 64353 68590 102885 107255 128706 205770 214510 321765 407569 643530 815138 1222707 2037845 2445414 4075690 6113535 7743811 12227070 15487622 23231433 38719055 46462866 77438110 116157165 232314330