22426800 has 120 divisors (see below), whose sum is σ = 78417600. Its totient is φ = 5433600.

The previous prime is 22426787. The next prime is 22426801. The reversal of 22426800 is 862422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22426800² = 1005922716480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22426801) 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 23 ways as a sum of consecutive naturals, for example, 12351 + ... + 14049.

It is an arithmetic number, because the mean of its divisors is an integer number (653480).

Almost surely, 2^22426800 is an apocalyptic number.

22426800 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 22426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39208800).

22426800 is an abundant number, since it is smaller than the sum of its proper divisors (55990800).

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

22426800 is a wasteful number, since it uses less digits than its factorization.

22426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22426800 is about 4735.6942468871. The cubic root of 22426800 is about 282.0043256718.

The spelling of 22426800 in words is "twenty-two million, four hundred twenty-six thousand, eight hundred".