2242305 has 24 divisors (see below), whose sum is σ = 4186728. Its totient is φ = 1103616.

The previous prime is 2242291. The next prime is 2242307. The reversal of 2242305 is 5032422.

2242305 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 2241009 = 36^2 + 1497^2 .

It is not a de Polignac number, because 2242305 - 2¹² = 2238209 is a prime.

It is a Curzon number.

2242305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2242307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332 + ... + 2501.

It is an arithmetic number, because the mean of its divisors is an integer number (174447).

2^2242305 is an apocalyptic number.

It is an amenable number.

2242305 is a deficient number, since it is larger than the sum of its proper divisors (1944423).

2242305 is a wasteful number, since it uses less digits than its factorization.

2242305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2242305 is about 1497.4328031668. The cubic root of 2242305 is about 130.8875168309.

Adding to 2242305 its reverse (5032422), we get a palindrome (7274727).

The spelling of 2242305 in words is "two million, two hundred forty-two thousand, three hundred five".