226730430720 has 504 divisors, whose sum is σ = 862220998296. Its totient is φ = 56900911104.

The previous prime is 226730430713. The next prime is 226730430721. The reversal of 226730430720 is 27034037622.

226730430720 is a `hidden beast` number, since 2 + 26 + 7 + 304 + 307 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2554695936 + 224175734784 = 50544^2 + 473472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226730430721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15855894 + ... + 15870186.

It is an arithmetic number, because the mean of its divisors is an integer number (1710755949).

Almost surely, 2^226730430720 is an apocalyptic number.

226730430720 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 226730430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431110499148).

226730430720 is an abundant number, since it is smaller than the sum of its proper divisors (635490567576).

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

226730430720 is an equidigital number, since it uses as much as digits as its factorization.

226730430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14349 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 226730430720 in words is "two hundred twenty-six billion, seven hundred thirty million, four hundred thirty thousand, seven hundred twenty".