22272264 has 144 divisors (see below), whose sum is σ = 72025200. Its totient is φ = 6197184.

The previous prime is 22272253. The next prime is 22272269. The reversal of 22272264 is 46227222.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5376) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (22272269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208099 + ... + 208205.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 2^22272264 is an apocalyptic number.

22272264 is a gapful number since it is divisible by the number (24) 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 22272264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36012600).

22272264 is an abundant number, since it is smaller than the sum of its proper divisors (49752936).

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

22272264 is a wasteful number, since it uses less digits than its factorization.

22272264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 22272264 is about 4719.3499552375. The cubic root of 22272264 is about 281.3550979072.

Adding to 22272264 its reverse (46227222), we get a palindrome (68499486).

The spelling of 22272264 in words is "twenty-two million, two hundred seventy-two thousand, two hundred sixty-four".