233514864 has 120 divisors (see below), whose sum is σ = 750547200. Its totient is φ = 67029120.

The previous prime is 233514863. The next prime is 233514877. The reversal of 233514864 is 468415332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233514863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26217 + ... + 33975.

It is an arithmetic number, because the mean of its divisors is an integer number (6254560).

Almost surely, 2^233514864 is an apocalyptic number.

233514864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233514864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375273600).

233514864 is an abundant number, since it is smaller than the sum of its proper divisors (517032336).

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

233514864 is a wasteful number, since it uses less digits than its factorization.

233514864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7794 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 233514864 is about 15281.1931471335. The cubic root of 233514864 is about 615.7978619386.

The spelling of 233514864 in words is "two hundred thirty-three million, five hundred fourteen thousand, eight hundred sixty-four".