220204400 has 240 divisors, whose sum is σ = 627709824. Its totient is φ = 73482240.

The previous prime is 220204393. The next prime is 220204403. The reversal of 220204400 is 4402022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220204403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4154774 + ... + 4154826.

Almost surely, 2^220204400 is an apocalyptic number.

220204400 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 220204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313854912).

220204400 is an abundant number, since it is smaller than the sum of its proper divisors (407505424).

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

220204400 is a wasteful number, since it uses less digits than its factorization.

220204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 220204400 is about 14839.2856970947. The cubic root of 220204400 is about 603.8679740084.

Adding to 220204400 its reverse (4402022), we get a palindrome (224606422).

The spelling of 220204400 in words is "two hundred twenty million, two hundred four thousand, four hundred".