22228800 has 168 divisors, whose sum is σ = 79747872. Its totient is φ = 5376000.

The previous prime is 22228793. The next prime is 22228813. The reversal of 22228800 is 882222.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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, 52590 + ... + 53010.

Almost surely, 2^22228800 is an apocalyptic number.

22228800 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 22228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39873936).

22228800 is an abundant number, since it is smaller than the sum of its proper divisors (57519072).

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

22228800 is a wasteful number, since it uses less digits than its factorization.

22228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 22228800 is about 4714.7428349805. The cubic root of 22228800 is about 281.1719585939.

It can be divided in two parts, 22 and 228800, that added together give a palindrome (228822).

The spelling of 22228800 in words is "twenty-two million, two hundred twenty-eight thousand, eight hundred".