233752064 has 160 divisors (see below), whose sum is σ = 598086720. Its totient is φ = 88768512.

The previous prime is 233752031. The next prime is 233752067. The reversal of 233752064 is 460257332.

It is a super-3 number, since 3×233752064³ (a number of 26 digits) contains 333 as substring.

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 233752064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233752067) 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 15 ways as a sum of consecutive naturals, for example, 1351082 + ... + 1351254.

It is an arithmetic number, because the mean of its divisors is an integer number (3738042).

Almost surely, 2^233752064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043360).

233752064 is an abundant number, since it is smaller than the sum of its proper divisors (364334656).

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

233752064 is a wasteful number, since it uses less digits than its factorization.

233752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 233752064 is about 15288.9523512895. The cubic root of 233752064 is about 616.0062966692.

The spelling of 233752064 in words is "two hundred thirty-three million, seven hundred fifty-two thousand, sixty-four".