22174272 has 84 divisors (see below), whose sum is σ = 64250316. Its totient is φ = 7311360.

The previous prime is 22174237. The next prime is 22174279. The reversal of 22174272 is 27247122.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 8156736 = 3744^2 + 2856^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22174279) 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, 78772 + ... + 79052.

Almost surely, 2^22174272 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 22174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32125158).

22174272 is an abundant number, since it is smaller than the sum of its proper divisors (42076044).

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

22174272 is a wasteful number, since it uses less digits than its factorization.

22174272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 22174272 is about 4708.9565723205. The cubic root of 22174272 is about 280.9418622310.

The spelling of 22174272 in words is "twenty-two million, one hundred seventy-four thousand, two hundred seventy-two".