22288896 has 120 divisors (see below), whose sum is σ = 73623264. Its totient is φ = 6359040.

The previous prime is 22288879. The next prime is 22288897. The reversal of 22288896 is 69888222.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22288897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31911 + ... + 32601.

It is a vampire number, since it can be written as 2688 ⋅ 8292 (with its own digits).

Almost surely, 2^22288896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36811632).

22288896 is an abundant number, since it is smaller than the sum of its proper divisors (51334368).

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

22288896 is an equidigital number, since it uses as much as digits as its factorization.

22288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 703 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 22288896 is about 4721.1117334797. Note that the first 3 decimals coincide. The cubic root of 22288896 is about 281.4251152413.

The spelling of 22288896 in words is "twenty-two million, two hundred eighty-eight thousand, eight hundred ninety-six".