22286880 has 384 divisors, whose sum is σ = 98703360. Its totient is φ = 4561920.

The previous prime is 22286879. The next prime is 22286897. The reversal of 22286880 is 8868222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 332607 + ... + 332673.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^22286880 is an apocalyptic number.

22286880 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 22286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

22286880 is an abundant number, since it is smaller than the sum of its proper divisors (76416480).

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

22286880 is a wasteful number, since it uses less digits than its factorization.

22286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 22286880 is about 4720.8982196188. The cubic root of 22286880 is about 281.4166301472.

The spelling of 22286880 in words is "twenty-two million, two hundred eighty-six thousand, eight hundred eighty".