213242304 has 112 divisors (see below), whose sum is σ = 635544576. Its totient is φ = 62515200.

The previous prime is 213242291. The next prime is 213242329. The reversal of 213242304 is 403242312.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63844 + ... + 67100.

Almost surely, 2^213242304 is an apocalyptic number.

213242304 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 213242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317772288).

213242304 is an abundant number, since it is smaller than the sum of its proper divisors (422302272).

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

213242304 is a wasteful number, since it uses less digits than its factorization.

213242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3304 counting only the distinct ones).

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

The square root of 213242304 is about 14602.8183581116. The cubic root of 213242304 is about 597.4356334320.

Adding to 213242304 its reverse (403242312), we get a palindrome (616484616).

The spelling of 213242304 in words is "two hundred thirteen million, two hundred forty-two thousand, three hundred four".