233256200 has 48 divisors (see below), whose sum is σ = 546343380. Its totient is φ = 92610560.

The previous prime is 233256197. The next prime is 233256239. The reversal of 233256200 is 2652332.

It is a happy number.

233256200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 166048996 + 67207204 = 12886^2 + 8198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23144 + ... + 31656.

Almost surely, 2^233256200 is an apocalyptic number.

233256200 is a gapful number since it is divisible by the number (20) 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 233256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273171690).

233256200 is an abundant number, since it is smaller than the sum of its proper divisors (313087180).

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

233256200 is a wasteful number, since it uses less digits than its factorization.

233256200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 233256200 is about 15272.7273268398. The cubic root of 233256200 is about 615.5704052009.

The spelling of 233256200 in words is "two hundred thirty-three million, two hundred fifty-six thousand, two hundred".