227716816320 has 336 divisors, whose sum is σ = 928299660288. Its totient is φ = 52049433600.

The previous prime is 227716816309. The next prime is 227716816321. The reversal of 227716816320 is 23618617722.

227716816320 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 1 + 6 + 8 + 1 + 632 + 0 = 666.

227716816320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227716816321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 335145 + ... + 753495.

It is an arithmetic number, because the mean of its divisors is an integer number (2762796608).

Almost surely, 2^227716816320 is an apocalyptic number.

227716816320 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 227716816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464149830144).

227716816320 is an abundant number, since it is smaller than the sum of its proper divisors (700582843968).

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

227716816320 is an equidigital number, since it uses as much as digits as its factorization.

227716816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418390 (or 418368 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 227716816320 in words is "two hundred twenty-seven billion, seven hundred sixteen million, eight hundred sixteen thousand, three hundred twenty".