221980 has 24 divisors (see below), whose sum is σ = 509040. Its totient is φ = 80640.

The previous prime is 221957. The next prime is 221987. The reversal of 221980 is 89122.

221980 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 724.

It is an arithmetic number, because the mean of its divisors is an integer number (21210).

2²²¹⁹⁸⁰ is an apocalyptic number.

221980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221980 is an abundant number, since it is smaller than the sum of its proper divisors (287060).

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

221980 is a wasteful number, since it uses less digits than its factorization.

221980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 221980 is about 471.1475352796. The cubic root of 221980 is about 60.5486710775.

It can be divided in two parts, 22 and 1980, that added together give a palindrome (2002).

The spelling of 221980 in words is "two hundred twenty-one thousand, nine hundred eighty".