382256226 has 64 divisors (see below), whose sum is σ = 956620800. Its totient is φ = 112093200.

The previous prime is 382256219. The next prime is 382256233. The reversal of 382256226 is 622652283.

382256226 is a `hidden beast` number, since 3 + 8 + 2 + 25 + 622 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (382256219) and next prime (382256233).

It is a super-2 number, since 2×382256226² = 292239644631526152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8035 + ... + 28793.

It is an arithmetic number, because the mean of its divisors is an integer number (14947200).

Almost surely, 2^382256226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382256226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478310400).

382256226 is an abundant number, since it is smaller than the sum of its proper divisors (574364574).

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

382256226 is a wasteful number, since it uses less digits than its factorization.

382256226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20812 (or 20806 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 382256226 is about 19551.3740182116. The cubic root of 382256226 is about 725.7463426396.

The spelling of 382256226 in words is "three hundred eighty-two million, two hundred fifty-six thousand, two hundred twenty-six".