220023200 has 72 divisors (see below), whose sum is σ = 539926380. Its totient is φ = 87552000.

The previous prime is 220023143. The next prime is 220023227. The reversal of 220023200 is 2320022.

It can be written as a sum of positive squares in 6 ways, for example, as 56490256 + 163532944 = 7516^2 + 12788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182600 + ... + 183800.

Almost surely, 2^220023200 is an apocalyptic number.

220023200 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 220023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269963190).

220023200 is an abundant number, since it is smaller than the sum of its proper divisors (319903180).

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

220023200 is a wasteful number, since it uses less digits than its factorization.

220023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 220023200 is about 14833.1790254146. The cubic root of 220023200 is about 603.7022932383.

Adding to 220023200 its reverse (2320022), we get a palindrome (222343222).

The spelling of 220023200 in words is "two hundred twenty million, twenty-three thousand, two hundred".