213252224 has 64 divisors (see below), whose sum is σ = 442337280. Its totient is φ = 102297600.

The previous prime is 213252211. The next prime is 213252241. The reversal of 213252224 is 422252312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×213252224² = 90953022081892352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213252224.

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 7 ways as a sum of consecutive naturals, for example, 884744 + ... + 884984.

It is an arithmetic number, because the mean of its divisors is an integer number (6911520).

Almost surely, 2^213252224 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 213252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221168640).

213252224 is an abundant number, since it is smaller than the sum of its proper divisors (229085056).

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

213252224 is a wasteful number, since it uses less digits than its factorization.

213252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 213252224 is about 14603.1580146214. The cubic root of 213252224 is about 597.4448974937. Note that the first 3 decimals are identical.

The spelling of 213252224 in words is "two hundred thirteen million, two hundred fifty-two thousand, two hundred twenty-four".