22826000 has 80 divisors (see below), whose sum is σ = 56233008. Its totient is φ = 8960000.

The previous prime is 22825997. The next prime is 22826009. The reversal of 22826000 is 62822.

It can be written as a sum of positive squares in 8 ways, for example, as 8111104 + 14714896 = 2848^2 + 3836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22826009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201944 + ... + 202056.

Almost surely, 2^22826000 is an apocalyptic number.

22826000 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 22826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116504).

22826000 is an abundant number, since it is smaller than the sum of its proper divisors (33407008).

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

22826000 is a wasteful number, since it uses less digits than its factorization.

22826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22826000 is about 4777.6563292058. The cubic root of 22826000 is about 283.6677328185.

Adding to 22826000 its reverse (62822), we get a palindrome (22888822).

The spelling of 22826000 in words is "twenty-two million, eight hundred twenty-six thousand".