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233342564 = 22713641051
BaseRepresentation
bin11011110100010…
…00011001100100
3121021002000211012
431322020121210
5434213430224
635053201352
75532244010
oct1572103144
9537060735
10233342564
1110a7967a4
1266190258
133945c830
1422dc1540
151574380e
hexde88664

233342564 has 24 divisors (see below), whose sum is σ = 502584768. Its totient is φ = 92311200.

The previous prime is 233342533. The next prime is 233342569. The reversal of 233342564 is 465243332.

233342564 is nontrivially palindromic in base 9.

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 self number, because there is not a number n which added to its sum of digits gives 233342564.

It is not an unprimeable number, because it can be changed into a prime (233342569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320162 + ... + 320889.

It is an arithmetic number, because the mean of its divisors is an integer number (20941032).

Almost surely, 2233342564 is an apocalyptic number.

It is an amenable number.

233342564 is an abundant number, since it is smaller than the sum of its proper divisors (269242204).

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

233342564 is a wasteful number, since it uses less digits than its factorization.

233342564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641075 (or 641073 counting only the distinct ones).

The product of its digits is 51840, while the sum is 32.

The square root of 233342564 is about 15275.5544580221. The cubic root of 233342564 is about 615.6463682586.

Adding to 233342564 its reverse (465243332), we get a palindrome (698585896).

The spelling of 233342564 in words is "two hundred thirty-three million, three hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 641051 1282102 2564204 4487357 8333663 8974714 16667326 17949428 33334652 58335641 116671282 233342564