222345600 has 384 divisors, whose sum is σ = 819590400. Its totient is φ = 52715520.

The previous prime is 222345587. The next prime is 222345611. The reversal of 222345600 is 6543222.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4195174 + ... + 4195226.

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

Almost surely, 2^222345600 is an apocalyptic number.

222345600 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 222345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409795200).

222345600 is an abundant number, since it is smaller than the sum of its proper divisors (597244800).

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

222345600 is a wasteful number, since it uses less digits than its factorization.

222345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 222345600 is about 14911.2574922439. The cubic root of 222345600 is about 605.8189396889.

Adding to 222345600 its reverse (6543222), we get a palindrome (228888822).

The spelling of 222345600 in words is "two hundred twenty-two million, three hundred forty-five thousand, six hundred".