22133200 has 30 divisors (see below), whose sum is σ = 53175974. Its totient is φ = 8853120.

The previous prime is 22133191. The next prime is 22133203. The reversal of 22133200 is 233122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 118336 + 22014864 = 344^2 + 4692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27267 + ... + 28066.

Almost surely, 2^22133200 is an apocalyptic number.

22133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133200 is an abundant number, since it is smaller than the sum of its proper divisors (31042774).

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

22133200 is a wasteful number, since it uses less digits than its factorization.

22133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55351 (or 55340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 22133200 is about 4704.5934999743. The cubic root of 22133200 is about 280.7682980853.

Adding to 22133200 its reverse (233122), we get a palindrome (22366322).

The spelling of 22133200 in words is "twenty-two million, one hundred thirty-three thousand, two hundred".