22822800 has 480 divisors, whose sum is σ = 103326720. Its totient is φ = 4147200.

The previous prime is 22822799. The next prime is 22822801. The reversal of 22822800 is 822822.

It is an interprime number because it is at equal distance from previous prime (22822799) and next prime (22822801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22822801) 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 95 ways as a sum of consecutive naturals, for example, 1201191 + ... + 1201209.

It is an arithmetic number, because the mean of its divisors is an integer number (215264).

Almost surely, 2^22822800 is an apocalyptic number.

22822800 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 22822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360).

22822800 is an abundant number, since it is smaller than the sum of its proper divisors (80503920).

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

22822800 is a wasteful number, since it uses less digits than its factorization.

22822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 22822800 is about 4777.3214252340. The cubic root of 22822800 is about 283.6544763103.

It can be divided in two parts, 228 and 22800, that multiplied together give a square (5198400 = 2280²).

The spelling of 22822800 in words is "twenty-two million, eight hundred twenty-two thousand, eight hundred".