221294220 has 192 divisors, whose sum is σ = 739694592. Its totient is φ = 48384000.

The previous prime is 221294167. The next prime is 221294221. The reversal of 221294220 is 22492122.

221294220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221294220² = 97942263610816800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221294221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1222530 + ... + 1222710.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^221294220 is an apocalyptic number.

221294220 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 221294220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

221294220 is an abundant number, since it is smaller than the sum of its proper divisors (518400372).

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

221294220 is a wasteful number, since it uses less digits than its factorization.

221294220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 221294220 is about 14875.9611454185. The cubic root of 221294220 is about 604.8625419108.

The spelling of 221294220 in words is "two hundred twenty-one million, two hundred ninety-four thousand, two hundred twenty".