220856200 has 48 divisors (see below), whose sum is σ = 516412260. Its totient is φ = 87840000.

The previous prime is 220856161. The next prime is 220856203. The reversal of 220856200 is 2658022.

It can be written as a sum of positive squares in 6 ways, for example, as 28922884 + 191933316 = 5378^2 + 13854^2 .

It is a super-2 number, since 2×220856200² = 97554922156880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (220856203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33150 + ... + 39250.

Almost surely, 2^220856200 is an apocalyptic number.

220856200 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 220856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258206130).

220856200 is an abundant number, since it is smaller than the sum of its proper divisors (295556060).

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

220856200 is a wasteful number, since it uses less digits than its factorization.

220856200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 220856200 is about 14861.2314429189. The cubic root of 220856200 is about 604.4631989187.

The spelling of 220856200 in words is "two hundred twenty million, eight hundred fifty-six thousand, two hundred".