226301362631300 has 216 divisors, whose sum is σ = 544903862670720. Its totient is φ = 81509799008000.

The previous prime is 226301362631273. The next prime is 226301362631387. The reversal of 226301362631300 is 3136263103622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14331026405 + ... + 14331042195.

It is an arithmetic number, because the mean of its divisors is an integer number (2522703067920).

Almost surely, 2^{226301362631300} is an apocalyptic number.

226301362631300 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 226301362631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272451931335360).

226301362631300 is an abundant number, since it is smaller than the sum of its proper divisors (318602500039420).

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

226301362631300 is a wasteful number, since it uses less digits than its factorization.

226301362631300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27003 (or 26985 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 38.

The spelling of 226301362631300 in words is "two hundred twenty-six trillion, three hundred one billion, three hundred sixty-two million, six hundred thirty-one thousand, three hundred".