212332224 has 112 divisors (see below), whose sum is σ = 611944928. Its totient is φ = 64585728.

The previous prime is 212332213. The next prime is 212332243. The reversal of 212332224 is 422233212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212332224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241674 + ... + 242550.

It is an arithmetic number, because the mean of its divisors is an integer number (5463794).

Almost surely, 2^212332224 is an apocalyptic number.

212332224 is a gapful number since it is divisible by the number (24) 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 212332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305972464).

212332224 is an abundant number, since it is smaller than the sum of its proper divisors (399612704).

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

212332224 is a wasteful number, since it uses less digits than its factorization.

212332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 212332224 is about 14571.6239314635. The cubic root of 212332224 is about 596.5845053305.

Adding to 212332224 its reverse (422233212), we get a palindrome (634565436).

The spelling of 212332224 in words is "two hundred twelve million, three hundred thirty-two thousand, two hundred twenty-four".