232213200 has 120 divisors (see below), whose sum is σ = 787681728. Its totient is φ = 58275840.

The previous prime is 232213199. The next prime is 232213207. The reversal of 232213200 is 2312232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213207) 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, 14709 + ... + 26091.

Almost surely, 2^232213200 is an apocalyptic number.

232213200 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 232213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393840864).

232213200 is an abundant number, since it is smaller than the sum of its proper divisors (555468528).

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

232213200 is a wasteful number, since it uses less digits than its factorization.

232213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232213200 is about 15238.5432374620. The cubic root of 232213200 is about 614.6515310577.

Adding to 232213200 its reverse (2312232), we get a palindrome (234525432).

The spelling of 232213200 in words is "two hundred thirty-two million, two hundred thirteen thousand, two hundred".