11005238 has 16 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 5283928.

The previous prime is 11005231. The next prime is 11005259. The reversal of 11005238 is 83250011.

It is a super-2 number, since 2×11005238² = 242230526873288, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207620 + ... + 207672.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^11005238 is an apocalyptic number.

11005238 is a deficient number, since it is larger than the sum of its proper divisors (6179722).

11005238 is an frugal number, since it uses more digits than its factorization.

11005238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 11005238 is about 3317.4143545840. The cubic root of 11005238 is about 222.4333040847.

Adding to 11005238 its reverse (83250011), we get a palindrome (94255249).

The spelling of 11005238 in words is "eleven million, five thousand, two hundred thirty-eight".