220966200 has 576 divisors, whose sum is σ = 974937600. Its totient is φ = 43545600.

The previous prime is 220966199. The next prime is 220966211. The reversal of 220966200 is 2669022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3112165 + ... + 3112235.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^220966200 is an apocalyptic number.

220966200 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 220966200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

220966200 is an abundant number, since it is smaller than the sum of its proper divisors (753971400).

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

220966200 is a wasteful number, since it uses less digits than its factorization.

220966200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 220966200 is about 14864.9318868268. The cubic root of 220966200 is about 604.5635355722.

The spelling of 220966200 in words is "two hundred twenty million, nine hundred sixty-six thousand, two hundred".