213232000 has 64 divisors (see below), whose sum is σ = 530187840. Its totient is φ = 85286400.

The previous prime is 213231961. The next prime is 213232001. The reversal of 213232000 is 232312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213232001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9337 + ... + 22663.

It is an arithmetic number, because the mean of its divisors is an integer number (8284185).

Almost surely, 2^213232000 is an apocalyptic number.

213232000 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 213232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265093920).

213232000 is an abundant number, since it is smaller than the sum of its proper divisors (316955840).

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

213232000 is an equidigital number, since it uses as much as digits as its factorization.

213232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13356 (or 13334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 213232000 is about 14602.4655452427. The cubic root of 213232000 is about 597.4260104573.

Adding to 213232000 its reverse (232312), we get a palindrome (213464312).

The spelling of 213232000 in words is "two hundred thirteen million, two hundred thirty-two thousand".