213266304 has 128 divisors (see below), whose sum is σ = 657043200. Its totient is φ = 67972608.

The previous prime is 213266303. The next prime is 213266323. The reversal of 213266304 is 403662312.

213266304 is a `hidden beast` number, since 2 + 1 + 3 + 26 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213266303) 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 15 ways as a sum of consecutive naturals, for example, 78147 + ... + 80829.

It is an arithmetic number, because the mean of its divisors is an integer number (5133150).

Almost surely, 2^213266304 is an apocalyptic number.

213266304 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 213266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328521600).

213266304 is an abundant number, since it is smaller than the sum of its proper divisors (443776896).

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

213266304 is a wasteful number, since it uses less digits than its factorization.

213266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 213266304 is about 14603.6400941683. The cubic root of 213266304 is about 597.4580459913.

The spelling of 213266304 in words is "two hundred thirteen million, two hundred sixty-six thousand, three hundred four".