222449920 has 288 divisors, whose sum is σ = 693455616. Its totient is φ = 66355200.

The previous prime is 222449917. The next prime is 222449939. The reversal of 222449920 is 29944222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646690 + ... + 3646750.

It is an arithmetic number, because the mean of its divisors is an integer number (2407832).

Almost surely, 2^222449920 is an apocalyptic number.

222449920 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 222449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346727808).

222449920 is an abundant number, since it is smaller than the sum of its proper divisors (471005696).

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

222449920 is a wasteful number, since it uses less digits than its factorization.

222449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 222449920 is about 14914.7551102926. The cubic root of 222449920 is about 605.9136708198.

The spelling of 222449920 in words is "two hundred twenty-two million, four hundred forty-nine thousand, nine hundred twenty".