220241200 has 60 divisors (see below), whose sum is σ = 533124360. Its totient is φ = 87431680.

The previous prime is 220241173. The next prime is 220241233. The reversal of 220241200 is 2142022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52791 + ... + 56809.

It is an arithmetic number, because the mean of its divisors is an integer number (8885406).

Almost surely, 2^220241200 is an apocalyptic number.

220241200 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 220241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266562180).

220241200 is an abundant number, since it is smaller than the sum of its proper divisors (312883160).

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

220241200 is a wasteful number, since it uses less digits than its factorization.

220241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 220241200 is about 14840.5255971613. The cubic root of 220241200 is about 603.9016110954.

Adding to 220241200 its reverse (2142022), we get a palindrome (222383222).

The spelling of 220241200 in words is "two hundred twenty million, two hundred forty-one thousand, two hundred".