221222600 has 48 divisors (see below), whose sum is σ = 522803220. Its totient is φ = 87033600.

The previous prime is 221222597. The next prime is 221222611. The reversal of 221222600 is 6222122.

221222600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18957316 + 202265284 = 4354^2 + 14222^2 .

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, 3134 + ... + 21266.

Almost surely, 2^221222600 is an apocalyptic number.

221222600 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 221222600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261401610).

221222600 is an abundant number, since it is smaller than the sum of its proper divisors (301580620).

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

221222600 is a wasteful number, since it uses less digits than its factorization.

221222600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18210 (or 18201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 221222600 is about 14873.5537112016. The cubic root of 221222600 is about 604.7972819904.

Adding to 221222600 its reverse (6222122), we get a palindrome (227444722).

The spelling of 221222600 in words is "two hundred twenty-one million, two hundred twenty-two thousand, six hundred".