221252200 has 96 divisors (see below), whose sum is σ = 567151200. Its totient is φ = 79752960.

The previous prime is 221252179. The next prime is 221252209. The reversal of 221252200 is 2252122.

It is not an unprimeable number, because it can be changed into a prime (221252209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110811 + ... + 112789.

It is an arithmetic number, because the mean of its divisors is an integer number (5907825).

Almost surely, 2^221252200 is an apocalyptic number.

221252200 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 221252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283575600).

221252200 is an abundant number, since it is smaller than the sum of its proper divisors (345899000).

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

221252200 is a wasteful number, since it uses less digits than its factorization.

221252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 221252200 is about 14874.5487326507. The cubic root of 221252200 is about 604.8242551254.

The spelling of 221252200 in words is "two hundred twenty-one million, two hundred fifty-two thousand, two hundred".