233140000 has 60 divisors (see below), whose sum is σ = 573608574. Its totient is φ = 93248000.

The previous prime is 233139979. The next prime is 233140009. The reversal of 233140000 is 41332.

It can be written as a sum of positive squares in 5 ways, for example, as 12082576 + 221057424 = 3476^2 + 14868^2 .

It is not an unprimeable number, because it can be changed into a prime (233140009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14172 + ... + 25828.

Almost surely, 2^233140000 is an apocalyptic number.

233140000 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 233140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286804287).

233140000 is an abundant number, since it is smaller than the sum of its proper divisors (340468574).

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

233140000 is an equidigital number, since it uses as much as digits as its factorization.

233140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 233140000 is about 15268.9226862932. The cubic root of 233140000 is about 615.4681697446.

Adding to 233140000 its reverse (41332), we get a palindrome (233181332).

The spelling of 233140000 in words is "two hundred thirty-three million, one hundred forty thousand".