233284064 has 48 divisors (see below), whose sum is σ = 523717488. Its totient is φ = 101332992.

The previous prime is 233284057. The next prime is 233284067. The reversal of 233284064 is 460482332.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 233284064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233284067) 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, 9422 + ... + 23565.

It is an arithmetic number, because the mean of its divisors is an integer number (10910781).

Almost surely, 2^233284064 is an apocalyptic number.

It is an amenable number.

233284064 is an abundant number, since it is smaller than the sum of its proper divisors (290433424).

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

233284064 is a wasteful number, since it uses less digits than its factorization.

233284064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33027 (or 33019 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 233284064 is about 15273.6395138814. The cubic root of 233284064 is about 615.5949155474.

The spelling of 233284064 in words is "two hundred thirty-three million, two hundred eighty-four thousand, sixty-four".