233201000 has 32 divisors (see below), whose sum is σ = 545692680. Its totient is φ = 93280000.

The previous prime is 233200949. The next prime is 233201009. The reversal of 233201000 is 102332.

It can be written as a sum of positive squares in 4 ways, for example, as 61748164 + 171452836 = 7858^2 + 13094^2 .

It is not an unprimeable number, because it can be changed into a prime (233201009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115601 + ... + 117600.

Almost surely, 2^233201000 is an apocalyptic number.

233201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233201000 is an abundant number, since it is smaller than the sum of its proper divisors (312491680).

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

233201000 is a wasteful number, since it uses less digits than its factorization.

233201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233222 (or 233208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 233201000 is about 15270.9200770615. The cubic root of 233201000 is about 615.5218431947.

Adding to 233201000 its reverse (102332), we get a palindrome (233303332).

It can be divided in two parts, 23 and 3201000, that added together give a palindrome (3201023).

The spelling of 233201000 in words is "two hundred thirty-three million, two hundred one thousand".