233838144 has 112 divisors (see below), whose sum is σ = 693359040. Its totient is φ = 77276160.

The previous prime is 233838133. The next prime is 233838151. The reversal of 233838144 is 441838332.

It is a happy number.

233838144 is a `hidden beast` number, since 233 + 8 + 381 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 233838099 and 233838108.

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 15 ways as a sum of consecutive naturals, for example, 225852 + ... + 226884.

Almost surely, 2^233838144 is an apocalyptic number.

233838144 is a gapful number since it is divisible by the number (24) 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 233838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346679520).

233838144 is an abundant number, since it is smaller than the sum of its proper divisors (459520896).

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

233838144 is a wasteful number, since it uses less digits than its factorization.

233838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1169 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 233838144 is about 15291.7671967631. The cubic root of 233838144 is about 616.0819028670.

The spelling of 233838144 in words is "two hundred thirty-three million, eight hundred thirty-eight thousand, one hundred forty-four".