22282240 has 76 divisors (see below), whose sum is σ = 56622996. Its totient is φ = 8388608.

The previous prime is 22282199. The next prime is 22282243. The reversal of 22282240 is 4228222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 9437184 = 3584^2 + 3072^2 .

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22282243) by changing a digit.

In principle, a polygon with 22282240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310712 + ... + 1310728.

Almost surely, 2^22282240 is an apocalyptic number.

22282240 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 22282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28311498).

22282240 is an abundant number, since it is smaller than the sum of its proper divisors (34340756).

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

22282240 is an frugal number, since it uses more digits than its factorization.

22282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 22282240 is about 4720.4067621340. The cubic root of 22282240 is about 281.3970990181.

It can be divided in two parts, 22282 and 240, that added together give a palindrome (22522).

The spelling of 22282240 in words is "twenty-two million, two hundred eighty-two thousand, two hundred forty".