222221200 has 60 divisors (see below), whose sum is σ = 552325140. Its totient is φ = 85818880.

The previous prime is 222221183. The next prime is 222221201. The reversal of 222221200 is 2122222.

It can be written as a sum of positive squares in 6 ways, for example, as 39538944 + 182682256 = 6288^2 + 13516^2 .

It is not an unprimeable number, because it can be changed into a prime (222221201) 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, 2022 + ... + 21178.

It is an arithmetic number, because the mean of its divisors is an integer number (9205419).

Almost surely, 2^222221200 is an apocalyptic number.

222221200 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 222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276162570).

222221200 is an abundant number, since it is smaller than the sum of its proper divisors (330103940).

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

222221200 is a wasteful number, since it uses less digits than its factorization.

222221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19204 (or 19193 counting only the distinct ones).

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

The square root of 222221200 is about 14907.0855635835. The cubic root of 222221200 is about 605.7059355254.

Adding to 222221200 its reverse (2122222), we get a palindrome (224343422).

It can be divided in two parts, 22 and 2221200, that added together give a palindrome (2221222).

The spelling of 222221200 in words is "two hundred twenty-two million, two hundred twenty-one thousand, two hundred".