226782768 has 80 divisors (see below), whose sum is σ = 606434400. Its totient is φ = 72972288.

The previous prime is 226782713. The next prime is 226782781. The reversal of 226782768 is 867287622.

It is a happy number.

226782768 is digitally balanced in base 3, 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264196 + ... + 265052.

It is an arithmetic number, because the mean of its divisors is an integer number (7580430).

Almost surely, 2^226782768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226782768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303217200).

226782768 is an abundant number, since it is smaller than the sum of its proper divisors (379651632).

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

226782768 is a wasteful number, since it uses less digits than its factorization.

226782768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 226782768 is about 15059.3083506514. The cubic root of 226782768 is about 609.8223687753.

The spelling of 226782768 in words is "two hundred twenty-six million, seven hundred eighty-two thousand, seven hundred sixty-eight".