22986288 has 80 divisors (see below), whose sum is σ = 71071840. Its totient is φ = 7070976.

The previous prime is 22986251. The next prime is 22986289. The reversal of 22986288 is 88268922.

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 (22986289) 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, 3570 + ... + 7662.

It is an arithmetic number, because the mean of its divisors is an integer number (888398).

Almost surely, 2^22986288 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 22986288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35535920).

22986288 is an abundant number, since it is smaller than the sum of its proper divisors (48085552).

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

22986288 is a wasteful number, since it uses less digits than its factorization.

22986288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4111 counting only the distinct ones).

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

The square root of 22986288 is about 4794.4017353576. The cubic root of 22986288 is about 284.3301721071.

It can be divided in two parts, 22 and 986288, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 22986288 in words is "twenty-two million, nine hundred eighty-six thousand, two hundred eighty-eight".