226501146228 has 384 divisors, whose sum is σ = 656474112000. Its totient is φ = 60663254400.

The previous prime is 226501146227. The next prime is 226501146233. The reversal of 226501146228 is 822641105622.

226501146228 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 (226501146227) 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 127 ways as a sum of consecutive naturals, for example, 1073465043 + ... + 1073465253.

It is an arithmetic number, because the mean of its divisors is an integer number (1709568000).

Almost surely, 2^226501146228 is an apocalyptic number.

226501146228 is a gapful number since it is divisible by the number (28) 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 226501146228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328237056000).

226501146228 is an abundant number, since it is smaller than the sum of its proper divisors (429972965772).

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

226501146228 is a wasteful number, since it uses less digits than its factorization.

226501146228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 226501146228 in words is "two hundred twenty-six billion, five hundred one million, one hundred forty-six thousand, two hundred twenty-eight".