221980500 has 384 divisors, whose sum is σ = 859622400. Its totient is φ = 48988800.

The previous prime is 221980489. The next prime is 221980513. The reversal of 221980500 is 5089122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7654486 + ... + 7654514.

It is an arithmetic number, because the mean of its divisors is an integer number (2238600).

Almost surely, 2^221980500 is an apocalyptic number.

221980500 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 221980500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429811200).

221980500 is an abundant number, since it is smaller than the sum of its proper divisors (637641900).

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

221980500 is an equidigital number, since it uses as much as digits as its factorization.

221980500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 221980500 is about 14899.0100342271. The cubic root of 221980500 is about 605.4871653851.

The spelling of 221980500 in words is "two hundred twenty-one million, nine hundred eighty thousand, five hundred".