22066800 has 240 divisors, whose sum is σ = 84137472. Its totient is φ = 4838400.

The previous prime is 22066789. The next prime is 22066801. The reversal of 22066800 is 866022.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22066801) 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 47 ways as a sum of consecutive naturals, for example, 310765 + ... + 310835.

Almost surely, 2^22066800 is an apocalyptic number.

22066800 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 22066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42068736).

22066800 is an abundant number, since it is smaller than the sum of its proper divisors (62070672).

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

22066800 is a wasteful number, since it uses less digits than its factorization.

22066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22066800 is about 4697.5312665271. The cubic root of 22066800 is about 280.4872468552.

The spelling of 22066800 in words is "twenty-two million, sixty-six thousand, eight hundred".