213710200 has 72 divisors (see below), whose sum is σ = 546215040. Its totient is φ = 77704000.

The previous prime is 213710197. The next prime is 213710219. The reversal of 213710200 is 2017312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19785 + ... + 28615.

It is an arithmetic number, because the mean of its divisors is an integer number (7586320).

Almost surely, 2^213710200 is an apocalyptic number.

213710200 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 213710200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273107520).

213710200 is an abundant number, since it is smaller than the sum of its proper divisors (332504840).

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

213710200 is a wasteful number, since it uses less digits than its factorization.

213710200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 213710200 is about 14618.8303225669. The cubic root of 213710200 is about 597.8722784019.

Adding to 213710200 its reverse (2017312), we get a palindrome (215727512).

The spelling of 213710200 in words is "two hundred thirteen million, seven hundred ten thousand, two hundred".