213556224 has 88 divisors (see below), whose sum is σ = 650585728. Its totient is φ = 61009920.

The previous prime is 213556207. The next prime is 213556247. The reversal of 213556224 is 422655312.

It is a junction number, because it is equal to n+sod(n) for n = 213556191 and 213556200.

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 7 ways as a sum of consecutive naturals, for example, 16539 + ... + 26469.

Almost surely, 2^213556224 is an apocalyptic number.

213556224 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 213556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325292864).

213556224 is an abundant number, since it is smaller than the sum of its proper divisors (437029504).

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

213556224 is an equidigital number, since it uses as much as digits as its factorization.

213556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961 (or 9943 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 213556224 is about 14613.5630152266. The cubic root of 213556224 is about 597.7286569623.

The spelling of 213556224 in words is "two hundred thirteen million, five hundred fifty-six thousand, two hundred twenty-four".