22249728 has 180 divisors, whose sum is σ = 70487340. Its totient is φ = 6967296.

The previous prime is 22249709. The next prime is 22249783. The reversal of 22249728 is 82794222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 5992704 = 4032^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 22249692 and 22249701.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 601326 + ... + 601362.

Almost surely, 2^22249728 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 22249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35243670).

22249728 is an abundant number, since it is smaller than the sum of its proper divisors (48237612).

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

22249728 is an equidigital number, since it uses as much as digits as its factorization.

22249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 22249728 is about 4716.9617339978. The cubic root of 22249728 is about 281.2601702989.

The spelling of 22249728 in words is "twenty-two million, two hundred forty-nine thousand, seven hundred twenty-eight".