22288000 has 128 divisors (see below), whose sum is σ = 63648000. Its totient is φ = 7603200.

The previous prime is 22287983. The next prime is 22288001. The reversal of 22288000 is 88222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22288001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111901 + ... + 112099.

It is an arithmetic number, because the mean of its divisors is an integer number (497250).

Almost surely, 2^22288000 is an apocalyptic number.

22288000 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 22288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

22288000 is an abundant number, since it is smaller than the sum of its proper divisors (41360000).

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

22288000 is an equidigital number, since it uses as much as digits as its factorization.

22288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 22288000 is about 4721.0168396226. The cubic root of 22288000 is about 281.4213441516.

The spelling of 22288000 in words is "twenty-two million, two hundred eighty-eight thousand".