22826100 has 72 divisors (see below), whose sum is σ = 72057888. Its totient is φ = 5532800.

The previous prime is 22826081. The next prime is 22826107. The reversal of 22826100 is 162822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22826107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159 + ... + 6758.

It is an arithmetic number, because the mean of its divisors is an integer number (1000804).

Almost surely, 2^22826100 is an apocalyptic number.

22826100 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 22826100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36028944).

22826100 is an abundant number, since it is smaller than the sum of its proper divisors (49231788).

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

22826100 is a wasteful number, since it uses less digits than its factorization.

22826100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 22826100 is about 4777.6667945766. Note that the first 3 decimals coincide. The cubic root of 22826100 is about 283.6681470644.

Adding to 22826100 its reverse (162822), we get a palindrome (22988922).

Subtracting from 22826100 its reverse (162822), we obtain a triangular number (22663278 = T₆₇₃₂).

The spelling of 22826100 in words is "twenty-two million, eight hundred twenty-six thousand, one hundred".