221422200 has 96 divisors (see below), whose sum is σ = 722572800. Its totient is φ = 55935360.

The previous prime is 221422193. The next prime is 221422207. The reversal of 221422200 is 2224122.

221422200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221422193) and next prime (221422207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221422200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221422207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689 + ... + 21111.

It is an arithmetic number, because the mean of its divisors is an integer number (7526800).

Almost surely, 2^221422200 is an apocalyptic number.

221422200 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 221422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361286400).

221422200 is an abundant number, since it is smaller than the sum of its proper divisors (501150600).

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

221422200 is a wasteful number, since it uses less digits than its factorization.

221422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461 (or 19452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 221422200 is about 14880.2620944659. The cubic root of 221422200 is about 604.9791218349.

Adding to 221422200 its reverse (2224122), we get a palindrome (223646322).

It can be divided in two parts, 22142 and 2200, that added together give a palindrome (24342).

The spelling of 221422200 in words is "two hundred twenty-one million, four hundred twenty-two thousand, two hundred".