213516224 has 56 divisors (see below), whose sum is σ = 454548240. Its totient is φ = 99201024.

The previous prime is 213516211. The next prime is 213516227. The reversal of 213516224 is 422615312.

It is a happy number.

It is a super-2 number, since 2×213516224² = 91178355822436352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213516193 and 213516202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213516227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62792 + ... + 66104.

Almost surely, 2^213516224 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 213516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227274120).

213516224 is an abundant number, since it is smaller than the sum of its proper divisors (241032016).

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

213516224 is a wasteful number, since it uses less digits than its factorization.

213516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3387 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 213516224 is about 14612.1943595067. The cubic root of 213516224 is about 597.6913355820.

The spelling of 213516224 in words is "two hundred thirteen million, five hundred sixteen thousand, two hundred twenty-four".