22147280 has 40 divisors (see below), whose sum is σ = 52021224. Its totient is φ = 8768000.

The previous prime is 22147259. The next prime is 22147289. The reversal of 22147280 is 8274122.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 16875664 = 2296^2 + 4108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×22147280² = 981004022796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22147289) 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 7 ways as a sum of consecutive naturals, for example, 6710 + ... + 9450.

Almost surely, 2^22147280 is an apocalyptic number.

22147280 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 22147280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26010612).

22147280 is an abundant number, since it is smaller than the sum of its proper divisors (29873944).

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

22147280 is a wasteful number, since it uses less digits than its factorization.

22147280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 22147280 is about 4706.0896719038. The cubic root of 22147280 is about 280.8278222338.

The spelling of 22147280 in words is "twenty-two million, one hundred forty-seven thousand, two hundred eighty".