221910480 has 120 divisors (see below), whose sum is σ = 813028320. Its totient is φ = 53794560.

The previous prime is 221910467. The next prime is 221910527. The reversal of 221910480 is 84019122.

221910480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×221910480² = 98488522267660800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6090 + ... + 21929.

It is an arithmetic number, because the mean of its divisors is an integer number (6775236).

Almost surely, 2^221910480 is an apocalyptic number.

221910480 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 221910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406514160).

221910480 is an abundant number, since it is smaller than the sum of its proper divisors (591117840).

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

221910480 is a wasteful number, since it uses less digits than its factorization.

221910480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28049 (or 28040 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 221910480 is about 14896.6600283419. The cubic root of 221910480 is about 605.4234951230.

The spelling of 221910480 in words is "two hundred twenty-one million, nine hundred ten thousand, four hundred eighty".