222441600 has 384 divisors, whose sum is σ = 819590400. Its totient is φ = 52756480.

The previous prime is 222441589. The next prime is 222441601. The reversal of 222441600 is 6144222.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (222441601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4732777 + ... + 4732823.

It is an arithmetic number, because the mean of its divisors is an integer number (2134350).

Almost surely, 2^222441600 is an apocalyptic number.

222441600 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 222441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409795200).

222441600 is an abundant number, since it is smaller than the sum of its proper divisors (597148800).

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

222441600 is a wasteful number, since it uses less digits than its factorization.

222441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 222441600 is about 14914.4761892599. The cubic root of 222441600 is about 605.9061166632.

Adding to 222441600 its reverse (6144222), we get a palindrome (228585822).

The spelling of 222441600 in words is "two hundred twenty-two million, four hundred forty-one thousand, six hundred".