233264 has 20 divisors (see below), whose sum is σ = 461280. Its totient is φ = 114240.

The previous prime is 233251. The next prime is 233267. The reversal of 233264 is 462332.

233264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 3⁵ + 2¹³ + 3¹¹ + 6⁶ + 4⁵ .

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (233267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2²³³²⁶⁴ is an apocalyptic number.

It is an amenable number.

233264 is a deficient number, since it is larger than the sum of its proper divisors (228016).

233264 is a wasteful number, since it uses less digits than its factorization.

233264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 233264 is about 482.9741193894. The cubic root of 233264 is about 61.5577266606.

Adding to 233264 its reverse (462332), we get a palindrome (695596).

The spelling of 233264 in words is "two hundred thirty-three thousand, two hundred sixty-four".