22456200 has 96 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 5525760.

The previous prime is 22456199. The next prime is 22456207. The reversal of 22456200 is 265422.

It is not an unprimeable number, because it can be changed into a prime (22456207) 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, 6361 + ... + 9239.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^22456200 is an apocalyptic number.

22456200 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 22456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

22456200 is an abundant number, since it is smaller than the sum of its proper divisors (52539000).

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

22456200 is a wasteful number, since it uses less digits than its factorization.

22456200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 22456200 is about 4738.7973157754. The cubic root of 22456200 is about 282.1275013197.

The spelling of 22456200 in words is "twenty-two million, four hundred fifty-six thousand, two hundred".