226316566000 has 320 divisors, whose sum is σ = 638779115520. Its totient is φ = 75947520000.

The previous prime is 226316565991. The next prime is 226316566033. The reversal of 226316566000 is 665613622.

226316566000 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 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, 256885560 + ... + 256886440.

It is an arithmetic number, because the mean of its divisors is an integer number (1996184736).

Almost surely, 2^226316566000 is an apocalyptic number.

226316566000 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 226316566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319389557760).

226316566000 is an abundant number, since it is smaller than the sum of its proper divisors (412462549520).

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

226316566000 is a wasteful number, since it uses less digits than its factorization.

226316566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 226316566000 in words is "two hundred twenty-six billion, three hundred sixteen million, five hundred sixty-six thousand".