22133320 has 96 divisors (see below), whose sum is σ = 58174200. Its totient is φ = 7546880.

The previous prime is 22133299. The next prime is 22133323. The reversal of 22133320 is 2333122.

It can be written as a sum of positive squares in 4 ways, for example, as 15507844 + 6625476 = 3938^2 + 2574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22133294 and 22133303.

It is not an unprimeable number, because it can be changed into a prime (22133323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82146 + ... + 82414.

Almost surely, 2^22133320 is an apocalyptic number.

22133320 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 22133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29087100).

22133320 is an abundant number, since it is smaller than the sum of its proper divisors (36040880).

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

22133320 is a wasteful number, since it uses less digits than its factorization.

22133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 22133320 is about 4704.6062534499. The cubic root of 22133320 is about 280.7688055000.

Adding to 22133320 its reverse (2333122), we get a palindrome (24466442).

The spelling of 22133320 in words is "twenty-two million, one hundred thirty-three thousand, three hundred twenty".