220098800 has 60 divisors (see below), whose sum is σ = 530448936. Its totient is φ = 87763200.

The previous prime is 220098787. The next prime is 220098803. The reversal of 220098800 is 8890022.

220098800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220098800² = 96886963522880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220098803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167747 + ... + 169053.

Almost surely, 2^220098800 is an apocalyptic number.

220098800 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 220098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265224468).

220098800 is an abundant number, since it is smaller than the sum of its proper divisors (310350136).

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

220098800 is a wasteful number, since it uses less digits than its factorization.

220098800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 220098800 is about 14835.7271476662. The cubic root of 220098800 is about 603.7714293825.

The spelling of 220098800 in words is "two hundred twenty million, ninety-eight thousand, eight hundred".