220152200 has 48 divisors (see below), whose sum is σ = 516871680. Its totient is φ = 87197760.

The previous prime is 220152169. The next prime is 220152203. The reversal of 220152200 is 2251022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220152203) 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, 15257 + ... + 25943.

It is an arithmetic number, because the mean of its divisors is an integer number (10768160).

Almost surely, 2^220152200 is an apocalyptic number.

220152200 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 220152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258435840).

220152200 is an abundant number, since it is smaller than the sum of its proper divisors (296719480).

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

220152200 is a wasteful number, since it uses less digits than its factorization.

220152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10806 (or 10797 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 220152200 is about 14837.5267480804. The cubic root of 220152200 is about 603.8202541031.

The spelling of 220152200 in words is "two hundred twenty million, one hundred fifty-two thousand, two hundred".