222123200 has 168 divisors, whose sum is σ = 601888560. Its totient is φ = 80179200.

The previous prime is 222123191. The next prime is 222123217. The reversal of 222123200 is 2321222.

222123200 is nontrivially palindromic in base 7.

It is a super-3 number, since 3×222123200³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227110 + ... + 1227290.

It is an arithmetic number, because the mean of its divisors is an integer number (3582670).

Almost surely, 2^222123200 is an apocalyptic number.

222123200 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 222123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300944280).

222123200 is an abundant number, since it is smaller than the sum of its proper divisors (379765360).

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

222123200 is a wasteful number, since it uses less digits than its factorization.

222123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 222123200 is about 14903.7981736200. The cubic root of 222123200 is about 605.6168832513.

Adding to 222123200 its reverse (2321222), we get a palindrome (224444422).

The spelling of 222123200 in words is "two hundred twenty-two million, one hundred twenty-three thousand, two hundred".