213412224 has 32 divisors (see below), whose sum is σ = 566877240. Its totient is φ = 71137280.

The previous prime is 213412211. The next prime is 213412261. The reversal of 213412224 is 422214312.

It is a tau number, because it is divible by the number of its divisors (32).

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 213412224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277497 + ... + 278264.

Almost surely, 2^213412224 is an apocalyptic number.

213412224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213412224 is an abundant number, since it is smaller than the sum of its proper divisors (353465016).

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

213412224 is an equidigital number, since it uses as much as digits as its factorization.

213412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555778 (or 555766 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 213412224 is about 14608.6352545335. The cubic root of 213412224 is about 597.5942781737.

Adding to 213412224 its reverse (422214312), we get a palindrome (635626536).

The spelling of 213412224 in words is "two hundred thirteen million, four hundred twelve thousand, two hundred twenty-four".