220900198500 has 144 divisors (see below), whose sum is σ = 697077658368. Its totient is φ = 58888872000.

The previous prime is 220900198487. The next prime is 220900198637. The reversal of 220900198500 is 5891009022.

220900198500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22238535 + ... + 22248465.

It is an arithmetic number, because the mean of its divisors is an integer number (4840817072).

Almost surely, 2^220900198500 is an apocalyptic number.

220900198500 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 220900198500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348538829184).

220900198500 is an abundant number, since it is smaller than the sum of its proper divisors (476177459868).

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

220900198500 is a wasteful number, since it uses less digits than its factorization.

220900198500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14899 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 220900198500 in words is "two hundred twenty billion, nine hundred million, one hundred ninety-eight thousand, five hundred".