221883120 has 120 divisors (see below), whose sum is σ = 769272192. Its totient is φ = 57254400.

The previous prime is 221883119. The next prime is 221883127. The reversal of 221883120 is 21388122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221883127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17350 + ... + 27290.

Almost surely, 2^221883120 is an apocalyptic number.

221883120 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 221883120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384636096).

221883120 is an abundant number, since it is smaller than the sum of its proper divisors (547389072).

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

221883120 is a wasteful number, since it uses less digits than its factorization.

221883120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 221883120 is about 14895.7416733777. The cubic root of 221883120 is about 605.3986126154.

The spelling of 221883120 in words is "two hundred twenty-one million, eight hundred eighty-three thousand, one hundred twenty".