226345943040 has 816 divisors, whose sum is σ = 872140142592. Its totient is φ = 49941577728.

The previous prime is 226345943039. The next prime is 226345943053. The reversal of 226345943040 is 40349543622.

226345943040 is digitally balanced in base 3, 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 = 226345942983 and 226345943001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782251457 + ... + 1782251583.

Almost surely, 2^226345943040 is an apocalyptic number.

226345943040 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 226345943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436070071296).

226345943040 is an abundant number, since it is smaller than the sum of its proper divisors (645794199552).

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

226345943040 is an equidigital number, since it uses as much as digits as its factorization.

226345943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 226345943040 in words is "two hundred twenty-six billion, three hundred forty-five million, nine hundred forty-three thousand, forty".