2226792 has 64 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 691200.

The previous prime is 2226787. The next prime is 2226793. The reversal of 2226792 is 2976222.

2226792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2226792² = 9917205222528, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 2¹⁶ + 2¹⁸ + 6⁷ + 7⁷ + 9⁶ + 2¹⁸ .

It is not an unprimeable number, because it can be changed into a prime (2226793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30468 + ... + 30540.

It is an arithmetic number, because the mean of its divisors is an integer number (93240).

2^2226792 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 2226792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983680).

2226792 is an abundant number, since it is smaller than the sum of its proper divisors (3740568).

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

2226792 is a wasteful number, since it uses less digits than its factorization.

2226792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2226792 is about 1492.2439478852. The cubic root of 2226792 is about 130.5849771694.

The spelling of 2226792 in words is "two million, two hundred twenty-six thousand, seven hundred ninety-two".