22268480 has 112 divisors (see below), whose sum is σ = 58759344. Its totient is φ = 7987200.

The previous prime is 22268471. The next prime is 22268483. The reversal of 22268480 is 8486222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 440896 + 21827584 = 664^2 + 4672^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (22268483) 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, 220430 + ... + 220530.

It is an arithmetic number, because the mean of its divisors is an integer number (524637).

Almost surely, 2^22268480 is an apocalyptic number.

22268480 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 22268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29379672).

22268480 is an abundant number, since it is smaller than the sum of its proper divisors (36490864).

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

22268480 is a wasteful number, since it uses less digits than its factorization.

22268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 22268480 is about 4718.9490355375. The cubic root of 22268480 is about 281.3391631704.

The spelling of 22268480 in words is "twenty-two million, two hundred sixty-eight thousand, four hundred eighty".