226234492582800 has 960 divisors, whose sum is σ = 834447681930240. Its totient is φ = 51900595568640.

The previous prime is 226234492582739. The next prime is 226234492582801. The reversal of 226234492582800 is 8285294432622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (226234492582801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39767002356 + ... + 39767008044.

It is an arithmetic number, because the mean of its divisors is an integer number (869216335344).

Almost surely, 2^{226234492582800} is an apocalyptic number.

226234492582800 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 226234492582800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417223840965120).

226234492582800 is an abundant number, since it is smaller than the sum of its proper divisors (608213189347440).

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

226234492582800 is a wasteful number, since it uses less digits than its factorization.

226234492582800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7180 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 226234492582800 in words is "two hundred twenty-six trillion, two hundred thirty-four billion, four hundred ninety-two million, five hundred eighty-two thousand, eight hundred".