22272840 has 128 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 5783040.

The previous prime is 22272829. The next prime is 22272847. The reversal of 22272840 is 4827222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22272847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44029 + ... + 44531.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^22272840 is an apocalyptic number.

22272840 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 22272840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

22272840 is an abundant number, since it is smaller than the sum of its proper divisors (53931960).

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

22272840 is a wasteful number, since it uses less digits than its factorization.

22272840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22272840 is about 4719.4109801966. The cubic root of 22272840 is about 281.3575233325.

The spelling of 22272840 in words is "twenty-two million, two hundred seventy-two thousand, eight hundred forty".