233252700 has 72 divisors (see below), whose sum is σ = 676883760. Its totient is φ = 62016000.

The previous prime is 233252689. The next prime is 233252707. The reversal of 233252700 is 7252332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233252707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121750 + ... + 123650.

Almost surely, 2^233252700 is an apocalyptic number.

233252700 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 233252700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338441880).

233252700 is an abundant number, since it is smaller than the sum of its proper divisors (443631060).

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

233252700 is a wasteful number, since it uses less digits than its factorization.

233252700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 233252700 is about 15272.6127430771. The cubic root of 233252700 is about 615.5673263157.

The spelling of 233252700 in words is "two hundred thirty-three million, two hundred fifty-two thousand, seven hundred".