213220200 has 96 divisors (see below), whose sum is σ = 675135360. Its totient is φ = 55641600.

The previous prime is 213220181. The next prime is 213220207. The reversal of 213220200 is 2022312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213220207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24420 + ... + 31980.

It is an arithmetic number, because the mean of its divisors is an integer number (7032660).

Almost surely, 2^213220200 is an apocalyptic number.

213220200 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 213220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337567680).

213220200 is an abundant number, since it is smaller than the sum of its proper divisors (461915160).

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

213220200 is a wasteful number, since it uses less digits than its factorization.

213220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213220200 is about 14602.0614982954. The cubic root of 213220200 is about 597.4149899773.

Adding to 213220200 its reverse (2022312), we get a palindrome (215242512).

The spelling of 213220200 in words is "two hundred thirteen million, two hundred twenty thousand, two hundred".