213212232 has 96 divisors (see below), whose sum is σ = 625790880. Its totient is φ = 65318400.

The previous prime is 213212179. The next prime is 213212261. The reversal of 213212232 is 232212312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50607 + ... + 54657.

It is an arithmetic number, because the mean of its divisors is an integer number (6518655).

Almost surely, 2^213212232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312895440).

213212232 is an abundant number, since it is smaller than the sum of its proper divisors (412578648).

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

213212232 is a wasteful number, since it uses less digits than its factorization.

213212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4116 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 213212232 is about 14601.7886575584. The cubic root of 213212232 is about 597.4075481215.

Adding to 213212232 its reverse (232212312), we get a palindrome (445424544).

It can be divided in two parts, 213212 and 232, that added together give a square (213444 = 462²).

The spelling of 213212232 in words is "two hundred thirteen million, two hundred twelve thousand, two hundred thirty-two".