22844180 has 48 divisors (see below), whose sum is σ = 49762944. Its totient is φ = 8803200.

The previous prime is 22844167. The next prime is 22844183. The reversal of 22844180 is 8144822.

22844180 = 213² + 214² + ... + 427².

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22844183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86729 + ... + 86991.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 2^22844180 is an apocalyptic number.

22844180 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 22844180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24881472).

22844180 is an abundant number, since it is smaller than the sum of its proper divisors (26918764).

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

22844180 is a wasteful number, since it uses less digits than its factorization.

22844180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 22844180 is about 4779.5585570218. The cubic root of 22844180 is about 283.7430228511.

The spelling of 22844180 in words is "twenty-two million, eight hundred forty-four thousand, one hundred eighty".