22242880 has 112 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 7884800.

The previous prime is 22242877. The next prime is 22242887. The reversal of 22242880 is 8824222.

It is not an unprimeable number, because it can be changed into a prime (22242887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249876 + ... + 249964.

Almost surely, 2^22242880 is an apocalyptic number.

22242880 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 22242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

22242880 is an abundant number, since it is smaller than the sum of its proper divisors (37010240).

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

22242880 is a wasteful number, since it uses less digits than its factorization.

22242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 22242880 is about 4716.2357871506. The cubic root of 22242880 is about 281.2313120093.

The spelling of 22242880 in words is "twenty-two million, two hundred forty-two thousand, eight hundred eighty".