233240 has 64 divisors (see below), whose sum is σ = 648000. Its totient is φ = 75264.

The previous prime is 233239. The next prime is 233251. The reversal of 233240 is 42332.

233240 = T₆₉ + T₇₀ + ... + T₁₁₉.

233240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13712 + ... + 13728.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2²³³²⁴⁰ is an apocalyptic number.

233240 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 233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

233240 is an abundant number, since it is smaller than the sum of its proper divisors (414760).

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

233240 is a wasteful number, since it uses less digits than its factorization.

233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 233240 is about 482.9492726985. The cubic root of 233240 is about 61.5556154102. Note that the first 3 decimals are identical.

Adding to 233240 its reverse (42332), we get a palindrome (275572).

The spelling of 233240 in words is "two hundred thirty-three thousand, two hundred forty".