226334855040 has 512 divisors, whose sum is σ = 851657241600. Its totient is φ = 50053054464.

The previous prime is 226334855023. The next prime is 226334855041. The reversal of 226334855040 is 40558433622.

It is a happy number.

226334855040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 226334854983 and 226334855001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226334855041) 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, 62991484 + ... + 62995076.

It is an arithmetic number, because the mean of its divisors is an integer number (1663393050).

Almost surely, 2^226334855040 is an apocalyptic number.

226334855040 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 226334855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425828620800).

226334855040 is an abundant number, since it is smaller than the sum of its proper divisors (625322386560).

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

226334855040 is a wasteful number, since it uses less digits than its factorization.

226334855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 226334855040 in words is "two hundred twenty-six billion, three hundred thirty-four million, eight hundred fifty-five thousand, forty".