20222400 has 168 divisors, whose sum is σ = 72566784. Its totient is φ = 4889600.

The previous prime is 20222383. The next prime is 20222407. The reversal of 20222400 is 422202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52609 + ... + 52991.

Almost surely, 2^20222400 is an apocalyptic number.

20222400 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 20222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36283392).

20222400 is an abundant number, since it is smaller than the sum of its proper divisors (52344384).

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

20222400 is a wasteful number, since it uses less digits than its factorization.

20222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20222400 is about 4496.9322876823. The cubic root of 20222400 is about 272.4441992187. Note that the first 3 decimals are identical.

Adding to 20222400 its reverse (422202), we get a palindrome (20644602).

The spelling of 20222400 in words is "twenty million, two hundred twenty-two thousand, four hundred".