232251200 has 84 divisors (see below), whose sum is σ = 574487040. Its totient is φ = 92413440.

The previous prime is 232251197. The next prime is 232251203. The reversal of 232251200 is 2152232.

It is an interprime number because it is at equal distance from previous prime (232251197) and next prime (232251203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232251203) 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 11 ways as a sum of consecutive naturals, for example, 606209 + ... + 606591.

Almost surely, 2^232251200 is an apocalyptic number.

232251200 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 232251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287243520).

232251200 is an abundant number, since it is smaller than the sum of its proper divisors (342235840).

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

232251200 is a wasteful number, since it uses less digits than its factorization.

232251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 232251200 is about 15239.7900248002. The cubic root of 232251200 is about 614.6850569787.

The spelling of 232251200 in words is "two hundred thirty-two million, two hundred fifty-one thousand, two hundred".