220399200 has 216 divisors, whose sum is σ = 888411888. Its totient is φ = 50365440.

The previous prime is 220399189. The next prime is 220399219. The reversal of 220399200 is 2993022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48214 + ... + 52586.

It is an arithmetic number, because the mean of its divisors is an integer number (4113018).

Almost surely, 2^220399200 is an apocalyptic number.

220399200 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 220399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444205944).

220399200 is an abundant number, since it is smaller than the sum of its proper divisors (668012688).

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

220399200 is a wasteful number, since it uses less digits than its factorization.

220399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 220399200 is about 14845.8479043805. The cubic root of 220399200 is about 604.0459886332.

The spelling of 220399200 in words is "two hundred twenty million, three hundred ninety-nine thousand, two hundred".