220009200 has 120 divisors (see below), whose sum is σ = 710371200. Its totient is φ = 58202880.

The previous prime is 220009193. The next prime is 220009211. The reversal of 220009200 is 2900022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220009200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166141 + ... + 167459.

It is an arithmetic number, because the mean of its divisors is an integer number (5919760).

Almost surely, 2^220009200 is an apocalyptic number.

220009200 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 220009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355185600).

220009200 is an abundant number, since it is smaller than the sum of its proper divisors (490362000).

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

220009200 is a wasteful number, since it uses less digits than its factorization.

220009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 220009200 is about 14832.7071028858. The cubic root of 220009200 is about 603.6894885108.

Adding to 220009200 its reverse (2900022), we get a palindrome (222909222).

The spelling of 220009200 in words is "two hundred twenty million, nine thousand, two hundred".