22288800 has 144 divisors (see below), whose sum is σ = 74807712. Its totient is φ = 5760000.

The previous prime is 22288793. The next prime is 22288807. The reversal of 22288800 is 888222.

It is an interprime number because it is at equal distance from previous prime (22288793) and next prime (22288807).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22288807) 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, 88675 + ... + 88925.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 2^22288800 is an apocalyptic number.

22288800 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 22288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403856).

22288800 is an abundant number, since it is smaller than the sum of its proper divisors (52518912).

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

22288800 is a wasteful number, since it uses less digits than its factorization.

22288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 22288800 is about 4721.1015663720. The cubic root of 22288800 is about 281.4247112008.

It can be divided in two parts, 222 and 88800, that multiplied together give a square (19713600 = 4440²).

The spelling of 22288800 in words is "twenty-two million, two hundred eighty-eight thousand, eight hundred".