22805820 has 96 divisors (see below), whose sum is σ = 71668800. Its totient is φ = 6020352.

The previous prime is 22805779. The next prime is 22805821. The reversal of 22805820 is 2850822.

22805820 is a `hidden beast` number, since 2 + 2 + 80 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22805821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84646 + ... + 84914.

It is an arithmetic number, because the mean of its divisors is an integer number (746550).

Almost surely, 2^22805820 is an apocalyptic number.

22805820 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 22805820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834400).

22805820 is an abundant number, since it is smaller than the sum of its proper divisors (48862980).

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

22805820 is a wasteful number, since it uses less digits than its factorization.

22805820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22805820 is about 4775.5439480754. The cubic root of 22805820 is about 283.5841132235.

It can be divided in two parts, 2280 and 5820, that added together give a square (8100 = 90²).

The spelling of 22805820 in words is "twenty-two million, eight hundred five thousand, eight hundred twenty".