213304224 has 144 divisors (see below), whose sum is σ = 657986112. Its totient is φ = 59265024.

The previous prime is 213304207. The next prime is 213304229. The reversal of 213304224 is 422403312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 213304224.

It is not an unprimeable number, because it can be changed into a prime (213304229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1887592 + ... + 1887704.

It is an arithmetic number, because the mean of its divisors is an integer number (4569348).

Almost surely, 2^213304224 is an apocalyptic number.

213304224 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 213304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328993056).

213304224 is an abundant number, since it is smaller than the sum of its proper divisors (444681888).

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

213304224 is a wasteful number, since it uses less digits than its factorization.

213304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 178 counting only the distinct ones).

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

The square root of 213304224 is about 14604.9383429031. The cubic root of 213304224 is about 597.4934544080.

Adding to 213304224 its reverse (422403312), we get a palindrome (635707536).

The spelling of 213304224 in words is "two hundred thirteen million, three hundred four thousand, two hundred twenty-four".