233300000 has 72 divisors (see below), whose sum is σ = 574346052. Its totient is φ = 93280000.

The previous prime is 233299939. The next prime is 233300009. The reversal of 233300000 is 3332.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41422096 + 191877904 = 6436^2 + 13852^2 .

It is not an unprimeable number, because it can be changed into a prime (233300009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98834 + ... + 101166.

Almost surely, 2^233300000 is an apocalyptic number.

233300000 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 233300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287173026).

233300000 is an abundant number, since it is smaller than the sum of its proper divisors (341046052).

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

233300000 is an frugal number, since it uses more digits than its factorization.

233300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 233300000 is about 15274.1611880980. The cubic root of 233300000 is about 615.6089326460.

Adding to 233300000 its reverse (3332), we get a palindrome (233303332).

The spelling of 233300000 in words is "two hundred thirty-three million, three hundred thousand".