220552000 has 112 divisors (see below), whose sum is σ = 575340480. Its totient is φ = 83520000.

The previous prime is 220551979. The next prime is 220552021. The reversal of 220552000 is 255022.

It is an interprime number because it is at equal distance from previous prime (220551979) and next prime (220552021).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151275 + ... + 152725.

Almost surely, 2^220552000 is an apocalyptic number.

220552000 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 220552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287670240).

220552000 is an abundant number, since it is smaller than the sum of its proper divisors (354788480).

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

220552000 is a wasteful number, since it uses less digits than its factorization.

220552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 220552000 is about 14850.9932327774. The cubic root of 220552000 is about 604.1855488880.

The spelling of 220552000 in words is "two hundred twenty million, five hundred fifty-two thousand".