212330304 has 84 divisors (see below), whose sum is σ = 610704900. Its totient is φ = 70533120.

The previous prime is 212330297. The next prime is 212330317. The reversal of 212330304 is 403033212.

212330304 is nontrivially palindromic in base 11.

212330304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93083904 + 119246400 = 9648^2 + 10920^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258214 + ... + 259034.

Almost surely, 2^212330304 is an apocalyptic number.

212330304 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 212330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305352450).

212330304 is an abundant number, since it is smaller than the sum of its proper divisors (398374596).

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

212330304 is a wasteful number, since it uses less digits than its factorization.

212330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 212330304 is about 14571.5580498449. The cubic root of 212330304 is about 596.5827071332.

Adding to 212330304 its reverse (403033212), we get a palindrome (615363516).

The spelling of 212330304 in words is "two hundred twelve million, three hundred thirty thousand, three hundred four".