212284900 has 81 divisors (see below), whose sum is σ = 486340617. Its totient is φ = 80426400.

The previous prime is 212284883. The next prime is 212284903. The reversal of 212284900 is 9482212.

The square root of 212284900 is 14570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76422564 + 135862336 = 8742^2 + 11656^2 .

It is not an unprimeable number, because it can be changed into a prime (212284903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4516677 + ... + 4516723.

Almost surely, 2^212284900 is an apocalyptic number.

212284900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212284900 is the 14570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212284900

212284900 is an abundant number, since it is smaller than the sum of its proper divisors (274055717).

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

212284900 is a wasteful number, since it uses less digits than its factorization.

212284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 212284900 is about 596.5401803534.

Multiplying 212284900 by its product of nonzero digits (2304), we get a square (489104409600 = 699360²).

The spelling of 212284900 in words is "two hundred twelve million, two hundred eighty-four thousand, nine hundred".