222313200 has 120 divisors (see below), whose sum is σ = 716137200. Its totient is φ = 58951680.

The previous prime is 222313181. The next prime is 222313207. The reversal of 222313200 is 2313222.

It is a tau number, because it is divible by the number of its divisors (120).

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 222313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222313207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274396 + ... + 275204.

It is an arithmetic number, because the mean of its divisors is an integer number (5967810).

Almost surely, 2^222313200 is an apocalyptic number.

222313200 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 222313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358068600).

222313200 is an abundant number, since it is smaller than the sum of its proper divisors (493824000).

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

222313200 is a wasteful number, since it uses less digits than its factorization.

222313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 222313200 is about 14910.1710251761. The cubic root of 222313200 is about 605.7895117965.

Adding to 222313200 its reverse (2313222), we get a palindrome (224626422).

The spelling of 222313200 in words is "two hundred twenty-two million, three hundred thirteen thousand, two hundred".