226550338560 has 2464 divisors, whose sum is σ = 1082529584640. Its totient is φ = 44144787456.

The previous prime is 226550338501. The next prime is 226550338561. The reversal of 226550338560 is 65833055622.

226550338560 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 50 + 3 + 38 + 560 = 666.

226550338560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (226550338561) 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 223 ways as a sum of consecutive naturals, for example, 7812080626 + ... + 7812080654.

Almost surely, 2^226550338560 is an apocalyptic number.

226550338560 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 226550338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541264792320).

226550338560 is an abundant number, since it is smaller than the sum of its proper divisors (855979246080).

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

226550338560 is a wasteful number, since it uses less digits than its factorization.

226550338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 226550338560 in words is "two hundred twenty-six billion, five hundred fifty million, three hundred thirty-eight thousand, five hundred sixty".