226302461115200 has 84 divisors (see below), whose sum is σ = 556856806835340. Its totient is φ = 90519145328640.

The previous prime is 226302461115151. The next prime is 226302461115209. The reversal of 226302461115200 is 2511164203622.

226302461115200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19309556101696 + 206992905013504 = 4394264^2 + 14387248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226302461115209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78737036 + ... + 81560564.

Almost surely, 2^{226302461115200} is an apocalyptic number.

226302461115200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226302461115200 is an abundant number, since it is smaller than the sum of its proper divisors (330554345720140).

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

226302461115200 is a wasteful number, since it uses less digits than its factorization.

226302461115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873644 (or 2873629 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 226302461115200 in words is "two hundred twenty-six trillion, three hundred two billion, four hundred sixty-one million, one hundred fifteen thousand, two hundred".