232553200 has 120 divisors (see below), whose sum is σ = 645561360. Its totient is φ = 79564800.

The previous prime is 232553143. The next prime is 232553201. The reversal of 232553200 is 2355232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232553201) 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, 73246 + ... + 76354.

It is an arithmetic number, because the mean of its divisors is an integer number (5379678).

Almost surely, 2^232553200 is an apocalyptic number.

232553200 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 232553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322780680).

232553200 is an abundant number, since it is smaller than the sum of its proper divisors (413008160).

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

232553200 is a wasteful number, since it uses less digits than its factorization.

232553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 232553200 is about 15249.6950789188. The cubic root of 232553200 is about 614.9513698961.

The spelling of 232553200 in words is "two hundred thirty-two million, five hundred fifty-three thousand, two hundred".