226138872320 has 80 divisors (see below), whose sum is σ = 542384738280. Its totient is φ = 90425278464.

The previous prime is 226138872299. The next prime is 226138872359. The reversal of 226138872320 is 23278831622.

It can be written as a sum of positive squares in 4 ways, for example, as 225526210816 + 612661504 = 474896^2 + 24752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×226138872320² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8621786 + ... + 8647974.

Almost surely, 2^226138872320 is an apocalyptic number.

226138872320 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 226138872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271192369140).

226138872320 is an abundant number, since it is smaller than the sum of its proper divisors (316245865960).

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

226138872320 is an equidigital number, since it uses as much as digits as its factorization.

226138872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29585 (or 29569 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 226138872320 in words is "two hundred twenty-six billion, one hundred thirty-eight million, eight hundred seventy-two thousand, three hundred twenty".