20022400 has 48 divisors (see below), whose sum is σ = 49469490. Its totient is φ = 8007680.

The previous prime is 20022323. The next prime is 20022407. The reversal of 20022400 is 422002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19289664 + 732736 = 4392^2 + 856^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20022407) 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, 72 + ... + 6328.

Almost surely, 2^20022400 is an apocalyptic number.

20022400 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 20022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24734745).

20022400 is an abundant number, since it is smaller than the sum of its proper divisors (29447090).

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

20022400 is an equidigital number, since it uses as much as digits as its factorization.

20022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 20022400 is about 4474.6396502959. The cubic root of 20022400 is about 271.5430621078.

Adding to 20022400 its reverse (422002), we get a palindrome (20444402).

The spelling of 20022400 in words is "twenty million, twenty-two thousand, four hundred".