22249872 has 120 divisors (see below), whose sum is σ = 67462200. Its totient is φ = 6819840.

The previous prime is 22249853. The next prime is 22249891. The reversal of 22249872 is 27894222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22249853) and next prime (22249891).

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 22240656 = 96^2 + 4716^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149254 + ... + 149402.

It is an arithmetic number, because the mean of its divisors is an integer number (562185).

Almost surely, 2^22249872 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 22249872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33731100).

22249872 is an abundant number, since it is smaller than the sum of its proper divisors (45212328).

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

22249872 is a wasteful number, since it uses less digits than its factorization.

22249872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

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

The square root of 22249872 is about 4716.9769980359. The cubic root of 22249872 is about 281.2607770685.

The spelling of 22249872 in words is "twenty-two million, two hundred forty-nine thousand, eight hundred seventy-two".