22135200 has 144 divisors (see below), whose sum is σ = 75370176. Its totient is φ = 5632000.

The previous prime is 22135193. The next prime is 22135219. The reversal of 22135200 is 253122.

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 22135200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55000 + ... + 55400.

It is an arithmetic number, because the mean of its divisors is an integer number (523404).

Almost surely, 2^22135200 is an apocalyptic number.

22135200 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 22135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685088).

22135200 is an abundant number, since it is smaller than the sum of its proper divisors (53234976).

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

22135200 is a wasteful number, since it uses less digits than its factorization.

22135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22135200 is about 4704.8060533884. The cubic root of 22135200 is about 280.7767547579.

Adding to 22135200 its reverse (253122), we get a palindrome (22388322).

The spelling of 22135200 in words is "twenty-two million, one hundred thirty-five thousand, two hundred".