233123040 has 288 divisors, whose sum is σ = 859753440. Its totient is φ = 57311232.

The previous prime is 233123021. The next prime is 233123063. The reversal of 233123040 is 40321332.

233123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178667 + ... + 2178773.

It is an arithmetic number, because the mean of its divisors is an integer number (2985255).

Almost surely, 2^233123040 is an apocalyptic number.

233123040 is a gapful number since it is divisible by the number (20) 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 233123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429876720).

233123040 is an abundant number, since it is smaller than the sum of its proper divisors (626630400).

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

233123040 is a wasteful number, since it uses less digits than its factorization.

233123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233123040 is about 15268.3672997475. The cubic root of 233123040 is about 615.4532451023.

Adding to 233123040 its reverse (40321332), we get a palindrome (273444372).

The spelling of 233123040 in words is "two hundred thirty-three million, one hundred twenty-three thousand, forty".