3005226 has 96 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 760320.

The previous prime is 3005221. The next prime is 3005237. The reversal of 3005226 is 6225003.

It is a super-2 number, since 2×3005226² = 18062766622152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3005199 and 3005208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49236 + ... + 49296.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^3005226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

3005226 is an abundant number, since it is smaller than the sum of its proper divisors (5351382).

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

3005226 is a wasteful number, since it uses less digits than its factorization.

3005226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3005226 is about 1733.5587673915. The cubic root of 3005226 is about 144.3086550739.

The spelling of 3005226 in words is "three million, five thousand, two hundred twenty-six".