22241280 has 112 divisors (see below), whose sum is σ = 71560944. Its totient is φ = 5898240.

The previous prime is 22241279. The next prime is 22241281. The reversal of 22241280 is 8214222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22241279) and next prime (22241281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122790 + ... + 122970.

It is an arithmetic number, because the mean of its divisors is an integer number (638937).

Almost surely, 2^22241280 is an apocalyptic number.

22241280 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 22241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35780472).

22241280 is an abundant number, since it is smaller than the sum of its proper divisors (49319664).

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

22241280 is an equidigital number, since it uses as much as digits as its factorization.

22241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22241280 is about 4716.0661572968. The cubic root of 22241280 is about 281.2245685647.

The spelling of 22241280 in words is "twenty-two million, two hundred forty-one thousand, two hundred eighty".