22022800 has 30 divisors (see below), whose sum is σ = 52910738. Its totient is φ = 8808960.

The previous prime is 22022797. The next prime is 22022801. The reversal of 22022800 is 822022.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 21939856 = 288^2 + 4684^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22022801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27129 + ... + 27928.

Almost surely, 2^22022800 is an apocalyptic number.

22022800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022800 is an abundant number, since it is smaller than the sum of its proper divisors (30887938).

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

22022800 is a wasteful number, since it uses less digits than its factorization.

22022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55075 (or 55064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22022800 is about 4692.8456185986. The cubic root of 22022800 is about 280.3006973679.

Adding to 22022800 its reverse (822022), we get a palindrome (22844822).

It can be divided in two parts, 22022 and 800, that added together give a palindrome (22822).

The spelling of 22022800 in words is "twenty-two million, twenty-two thousand, eight hundred".