226032768 has 288 divisors, whose sum is σ = 747386640. Its totient is φ = 67931136.

The previous prime is 226032767. The next prime is 226032773. The reversal of 226032768 is 867230622.

226032768 is a `hidden beast` number, since 22 + 603 + 27 + 6 + 8 = 666.

226032768 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 (288).

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

It is not an unprimeable number, because it can be changed into a prime (226032761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5256555 + ... + 5256597.

Almost surely, 2^226032768 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 226032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373693320).

226032768 is an abundant number, since it is smaller than the sum of its proper divisors (521353872).

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

226032768 is an equidigital number, since it uses as much as digits as its factorization.

226032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 226032768 is about 15034.3861863396. The cubic root of 226032768 is about 609.1493724693.

The spelling of 226032768 in words is "two hundred twenty-six million, thirty-two thousand, seven hundred sixty-eight".