226820204728 has 256 divisors, whose sum is σ = 521773056000. Its totient is φ = 91299446784.

The previous prime is 226820204719. The next prime is 226820204729. The reversal of 226820204728 is 827402028622.

226820204728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226820204729) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 337028200 + ... + 337028872.

It is an arithmetic number, because the mean of its divisors is an integer number (2038176000).

Almost surely, 2^226820204728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226820204728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260886528000).

226820204728 is an abundant number, since it is smaller than the sum of its proper divisors (294952851272).

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

226820204728 is a wasteful number, since it uses less digits than its factorization.

226820204728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 226820204728 in words is "two hundred twenty-six billion, eight hundred twenty million, two hundred four thousand, seven hundred twenty-eight".