220987200 has 168 divisors, whose sum is σ = 828722752. Its totient is φ = 50503680.

The previous prime is 220987187. The next prime is 220987211. The reversal of 220987200 is 2789022.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30312 + ... + 36888.

Almost surely, 2^220987200 is an apocalyptic number.

220987200 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 220987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414361376).

220987200 is an abundant number, since it is smaller than the sum of its proper divisors (607735552).

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

220987200 is a wasteful number, since it uses less digits than its factorization.

220987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 220987200 is about 14865.6382304965. The cubic root of 220987200 is about 604.5826869659.

The spelling of 220987200 in words is "two hundred twenty million, nine hundred eighty-seven thousand, two hundred".