213322304 has 56 divisors (see below), whose sum is σ = 460110840. Its totient is φ = 97542144.

The previous prime is 213322261. The next prime is 213322313. The reversal of 213322304 is 403223312.

It can be written as a sum of positive squares in 4 ways, for example, as 35046400 + 178275904 = 5920^2 + 13352^2 .

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, 92882 + ... + 95150.

It is an arithmetic number, because the mean of its divisors is an integer number (8216265).

Almost surely, 2^213322304 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 213322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230055420).

213322304 is an abundant number, since it is smaller than the sum of its proper divisors (246788536).

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

213322304 is a wasteful number, since it uses less digits than its factorization.

213322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 213322304 is about 14605.5572985080. The cubic root of 213322304 is about 597.5103354246.

Adding to 213322304 its reverse (403223312), we get a palindrome (616545616).

The spelling of 213322304 in words is "two hundred thirteen million, three hundred twenty-two thousand, three hundred four".