220489200 has 180 divisors, whose sum is σ = 776564880. Its totient is φ = 57922560.

The previous prime is 220489177. The next prime is 220489219. The reversal of 220489200 is 2984022.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 262381 + ... + 263219.

Almost surely, 2^220489200 is an apocalyptic number.

220489200 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 220489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388282440).

220489200 is an abundant number, since it is smaller than the sum of its proper divisors (556075680).

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

220489200 is a wasteful number, since it uses less digits than its factorization.

220489200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220489200 is about 14848.8787455484. The cubic root of 220489200 is about 604.1281981584.

The spelling of 220489200 in words is "two hundred twenty million, four hundred eighty-nine thousand, two hundred".