226334937000 has 256 divisors, whose sum is σ = 754089523200. Its totient is φ = 56394240000.

The previous prime is 226334936999. The next prime is 226334937013. The reversal of 226334937000 is 739433622.

226334937000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226334937000.

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 63 ways as a sum of consecutive naturals, for example, 2655040 + ... + 2738960.

It is an arithmetic number, because the mean of its divisors is an integer number (2945662200).

Almost surely, 2^226334937000 is an apocalyptic number.

226334937000 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 226334937000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377044761600).

226334937000 is an abundant number, since it is smaller than the sum of its proper divisors (527754586200).

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

226334937000 is a wasteful number, since it uses less digits than its factorization.

226334937000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84005 (or 83991 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 226334937000 in words is "two hundred twenty-six billion, three hundred thirty-four million, nine hundred thirty-seven thousand".