233042240 has 56 divisors (see below), whose sum is σ = 556836072. Its totient is φ = 92897280.

The previous prime is 233042213. The next prime is 233042261. The reversal of 233042240 is 42240332.

233042240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16128256 + 216913984 = 4016^2 + 14728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106760 + ... + 108920.

Almost surely, 2^233042240 is an apocalyptic number.

233042240 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 233042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278418036).

233042240 is an abundant number, since it is smaller than the sum of its proper divisors (323793832).

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

233042240 is a wasteful number, since it uses less digits than its factorization.

233042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 233042240 is about 15265.7210769750. The cubic root of 233042240 is about 615.3821319131.

Adding to 233042240 its reverse (42240332), we get a palindrome (275282572).

The spelling of 233042240 in words is "two hundred thirty-three million, forty-two thousand, two hundred forty".