221482880 has 64 divisors (see below), whose sum is σ = 531852480. Its totient is φ = 88197120.

The previous prime is 221482871. The next prime is 221482901. The reversal of 221482880 is 88284122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×221482880² = 98109332266188800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221482880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172802 + ... + 174078.

It is an arithmetic number, because the mean of its divisors is an integer number (8310195).

Almost surely, 2^221482880 is an apocalyptic number.

221482880 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 221482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265926240).

221482880 is an abundant number, since it is smaller than the sum of its proper divisors (310369600).

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

221482880 is a wasteful number, since it uses less digits than its factorization.

221482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 221482880 is about 14882.3008973747. The cubic root of 221482880 is about 605.0343809435.

The spelling of 221482880 in words is "two hundred twenty-one million, four hundred eighty-two thousand, eight hundred eighty".