213022204400 has 120 divisors (see below), whose sum is σ = 523614611520. Its totient is φ = 83261767680.

The previous prime is 213022204393. The next prime is 213022204457. The reversal of 213022204400 is 4402220312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3030452 + ... + 3099948.

It is an arithmetic number, because the mean of its divisors is an integer number (4363455096).

Almost surely, 2^213022204400 is an apocalyptic number.

213022204400 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 213022204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261807305760).

213022204400 is an abundant number, since it is smaller than the sum of its proper divisors (310592407120).

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

213022204400 is a wasteful number, since it uses less digits than its factorization.

213022204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69691 (or 69680 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 213022204400 its reverse (4402220312), we get a palindrome (217424424712).

The spelling of 213022204400 in words is "two hundred thirteen billion, twenty-two million, two hundred four thousand, four hundred".