22845000 has 80 divisors (see below), whose sum is σ = 71414640. Its totient is φ = 6088000.

The previous prime is 22844993. The next prime is 22845007. The reversal of 22845000 is 54822.

It is an interprime number because it is at equal distance from previous prime (22844993) and next prime (22845007).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22845007) 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 19 ways as a sum of consecutive naturals, for example, 14239 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (892683).

Almost surely, 2^22845000 is an apocalyptic number.

22845000 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 22845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35707320).

22845000 is an abundant number, since it is smaller than the sum of its proper divisors (48569640).

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

22845000 is a wasteful number, since it uses less digits than its factorization.

22845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 22845000 is about 4779.6443382327. The cubic root of 22845000 is about 283.7464178295.

Adding to 22845000 its reverse (54822), we get a palindrome (22899822).

The spelling of 22845000 in words is "twenty-two million, eight hundred forty-five thousand".