220800000 has 264 divisors, whose sum is σ = 767575872. Its totient is φ = 56320000.

The previous prime is 220799987. The next prime is 220800001. The reversal of 220800000 is 8022.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (220800001) 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, 9599989 + ... + 9600011.

Almost surely, 2^220800000 is an apocalyptic number.

220800000 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 220800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383787936).

220800000 is an abundant number, since it is smaller than the sum of its proper divisors (546775872).

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

220800000 is an frugal number, since it uses more digits than its factorization.

220800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220800000 is about 14859.3404968054. The cubic root of 220800000 is about 604.4119231509.

Adding to 220800000 its reverse (8022), we get a palindrome (220808022).

The spelling of 220800000 in words is "two hundred twenty million, eight hundred thousand".