233240000 has 280 divisors, whose sum is σ = 714146400. Its totient is φ = 75264000.

The previous prime is 233239999. The next prime is 233240009. The reversal of 233240000 is 42332.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233240009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13719992 + ... + 13720008.

Almost surely, 2^233240000 is an apocalyptic number.

233240000 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 233240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357073200).

233240000 is an abundant number, since it is smaller than the sum of its proper divisors (480906400).

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

233240000 is an frugal number, since it uses more digits than its factorization.

233240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 31 counting only the distinct ones).

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

The square root of 233240000 is about 15272.1969604900. The cubic root of 233240000 is about 615.5561541021.

Adding to 233240000 its reverse (42332), we get a palindrome (233282332).

The spelling of 233240000 in words is "two hundred thirty-three million, two hundred forty thousand".