221365280 has 48 divisors (see below), whose sum is σ = 524107584. Its totient is φ = 88354560.

The previous prime is 221365223. The next prime is 221365297. The reversal of 221365280 is 82563122.

221365280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90149 + ... + 92571.

It is an arithmetic number, because the mean of its divisors is an integer number (10918908).

Almost surely, 2^221365280 is an apocalyptic number.

221365280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221365280 is an abundant number, since it is smaller than the sum of its proper divisors (302742304).

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

221365280 is a wasteful number, since it uses less digits than its factorization.

221365280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 221365280 is about 14878.3493708140. The cubic root of 221365280 is about 604.9272776465.

The spelling of 221365280 in words is "two hundred twenty-one million, three hundred sixty-five thousand, two hundred eighty".