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232338961 = 1133136569
BaseRepresentation
bin11011101100100…
…11011000010001
3121012012001010201
431312103120101
5433434321321
635015455201
75520564031
oct1566233021
9535161121
10232338961
1110a170778
1265987501
133919aa9a
1422bdd8c1
15155e6291
hexdd93611

232338961 has 8 divisors (see below), whose sum is σ = 235179720. Its totient is φ = 229512192.

The previous prime is 232338941. The next prime is 232338971. The reversal of 232338961 is 169833232.

232338961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 690561 + 231648400 = 831^2 + 15220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 232338961 - 27 = 232338833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232338961.

It is not an unprimeable number, because it can be changed into a prime (232338901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32085 + ... + 38653.

It is an arithmetic number, because the mean of its divisors is an integer number (29397465).

Almost surely, 2232338961 is an apocalyptic number.

It is an amenable number.

232338961 is a deficient number, since it is larger than the sum of its proper divisors (2840759).

232338961 is a wasteful number, since it uses less digits than its factorization.

232338961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995.

The product of its digits is 46656, while the sum is 37.

The square root of 232338961 is about 15242.6690904185. The cubic root of 232338961 is about 614.7624711204.

The spelling of 232338961 in words is "two hundred thirty-two million, three hundred thirty-eight thousand, nine hundred sixty-one".

Divisors: 1 113 313 6569 35369 742297 2056097 232338961