213722900 has 72 divisors (see below), whose sum is σ = 495426624. Its totient is φ = 79833600.

The previous prime is 213722893. The next prime is 213722917. The reversal of 213722900 is 9227312.

213722900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213722900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97820 + ... + 99980.

Almost surely, 2^213722900 is an apocalyptic number.

213722900 is a gapful number since it is divisible by the number (20) 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 213722900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247713312).

213722900 is an abundant number, since it is smaller than the sum of its proper divisors (281703724).

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

213722900 is a wasteful number, since it uses less digits than its factorization.

213722900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 213722900 is about 14619.2646873911. The cubic root of 213722900 is about 597.8841212738.

The spelling of 213722900 in words is "two hundred thirteen million, seven hundred twenty-two thousand, nine hundred".