22142800 has 60 divisors (see below), whose sum is σ = 53658396. Its totient is φ = 8780800.

The previous prime is 22142797. The next prime is 22142803. The reversal of 22142800 is 824122.

It is an interprime number because it is at equal distance from previous prime (22142797) and next prime (22142803).

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 20575296 = 1252^2 + 4536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78660 + ... + 78940.

Almost surely, 2^22142800 is an apocalyptic number.

22142800 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 22142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26829198).

22142800 is an abundant number, since it is smaller than the sum of its proper divisors (31515596).

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

22142800 is a wasteful number, since it uses less digits than its factorization.

22142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 22142800 is about 4705.6136688003. The cubic root of 22142800 is about 280.8088854692.

Adding to 22142800 its reverse (824122), we get a palindrome (22966922).

The spelling of 22142800 in words is "twenty-two million, one hundred forty-two thousand, eight hundred".