22288032 has 72 divisors (see below), whose sum is σ = 68268564. Its totient is φ = 6856704.

The previous prime is 22288031. The next prime is 22288043. The reversal of 22288032 is 23088222.

It can be written as a sum of positive squares in 2 ways, for example, as 16353936 + 5934096 = 4044^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22287987 and 22288005.

It is not an unprimeable number, because it can be changed into a prime (22288031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768 + ... + 6720.

Almost surely, 2^22288032 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 22288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34134282).

22288032 is an abundant number, since it is smaller than the sum of its proper divisors (45980532).

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

22288032 is a wasteful number, since it uses less digits than its factorization.

22288032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22288032 is about 4721.0202287218. The cubic root of 22288032 is about 281.4214788351.

The spelling of 22288032 in words is "twenty-two million, two hundred eighty-eight thousand, thirty-two".