221880 has 48 divisors (see below), whose sum is σ = 681480. Its totient is φ = 57792.

The previous prime is 221873. The next prime is 221891. The reversal of 221880 is 88122.

221880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221880.

It is an unprimeable number.

221880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5139 + ... + 5181.

2²²¹⁸⁸⁰ is an apocalyptic number.

221880 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 221880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340740).

221880 is an abundant number, since it is smaller than the sum of its proper divisors (459600).

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

221880 is a wasteful number, since it uses less digits than its factorization.

221880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 221880 is about 471.0413994544. The cubic root of 221880 is about 60.5395775007.

The spelling of 221880 in words is "two hundred twenty-one thousand, eight hundred eighty".