226983456 has 288 divisors, whose sum is σ = 806682240. Its totient is φ = 59056128.

The previous prime is 226983451. The next prime is 226983509. The reversal of 226983456 is 654389622.

226983456 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).

Its product of digits (622080) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (226983451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1267975 + ... + 1268153.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^226983456 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 226983456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

226983456 is an abundant number, since it is smaller than the sum of its proper divisors (579698784).

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

226983456 is a wasteful number, since it uses less digits than its factorization.

226983456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 226983456 is about 15065.9701313921. The cubic root of 226983456 is about 610.0022001175.

The spelling of 226983456 in words is "two hundred twenty-six million, nine hundred eighty-three thousand, four hundred fifty-six".