11233152 has 144 divisors (see below), whose sum is σ = 37791000. Its totient is φ = 3193344.

The previous prime is 11233133. The next prime is 11233169. The reversal of 11233152 is 25133211.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 56349 + ... + 56547.

Almost surely, 2^11233152 is an apocalyptic number.

11233152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895500).

11233152 is an abundant number, since it is smaller than the sum of its proper divisors (26557848).

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

11233152 is a wasteful number, since it uses less digits than its factorization.

11233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11233152 is about 3351.5894736677. The cubic root of 11233152 is about 223.9583255804.

Adding to 11233152 its reverse (25133211), we get a palindrome (36366363).

The spelling of 11233152 in words is "eleven million, two hundred thirty-three thousand, one hundred fifty-two".