220552200 has 384 divisors, whose sum is σ = 857088000. Its totient is φ = 51667200.

The previous prime is 220552139. The next prime is 220552219. The reversal of 220552200 is 2255022.

It is a Cunningham number, because it is equal to 14851²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2791761 + ... + 2791839.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 2^220552200 is an apocalyptic number.

220552200 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 220552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544000).

220552200 is an abundant number, since it is smaller than the sum of its proper divisors (636535800).

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

220552200 is a wasteful number, since it uses less digits than its factorization.

220552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 220552200 is about 14850.9999663322. Note that the first 4 decimals coincide. The cubic root of 220552200 is about 604.1857315162.

The spelling of 220552200 in words is "two hundred twenty million, five hundred fifty-two thousand, two hundred".