220688200 has 48 divisors (see below), whose sum is σ = 514515060. Its totient is φ = 88032000.

The previous prime is 220688191. The next prime is 220688201. The reversal of 220688200 is 2886022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43744996 + 176943204 = 6614^2 + 13302^2 .

It is not an unprimeable number, because it can be changed into a prime (220688201) 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, 82890 + ... + 85510.

Almost surely, 2^220688200 is an apocalyptic number.

220688200 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 220688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257257530).

220688200 is an abundant number, since it is smaller than the sum of its proper divisors (293826860).

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

220688200 is a wasteful number, since it uses less digits than its factorization.

220688200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 220688200 is about 14855.5780769380. The cubic root of 220688200 is about 604.3098931672.

The spelling of 220688200 in words is "two hundred twenty million, six hundred eighty-eight thousand, two hundred".