220226000784 has 80 divisors (see below), whose sum is σ = 576959262720. Its totient is φ = 72373691520.

The previous prime is 220226000749. The next prime is 220226000803. The reversal of 220226000784 is 487000622022.

220226000784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220226000784² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2578249 + ... + 2662295.

It is an arithmetic number, because the mean of its divisors is an integer number (7211990784).

Almost surely, 2^220226000784 is an apocalyptic number.

220226000784 is a gapful number since it is divisible by the number (24) 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 220226000784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288479631360).

220226000784 is an abundant number, since it is smaller than the sum of its proper divisors (356733261936).

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

220226000784 is a wasteful number, since it uses less digits than its factorization.

220226000784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84828 (or 84822 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 220226000784 in words is "two hundred twenty billion, two hundred twenty-six million, seven hundred eighty-four", and thus it is an aban number.