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233001 = 3225889
BaseRepresentation
bin111000111000101001
3102211121200
4320320221
524424001
64554413
71660206
oct707051
9384550
10233001
1114a06a
12b2a09
1382092
1460cad
1549086
hex38e29

233001 has 6 divisors (see below), whose sum is σ = 336570. Its totient is φ = 155328.

The previous prime is 232987. The next prime is 233021. The reversal of 233001 is 100332.

It is a happy number.

233001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 2601 = 480^2 + 51^2 .

It is not a de Polignac number, because 233001 - 26 = 232937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 25889 = 233001 / (2 + 3 + 3 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (233021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12936 + ... + 12953.

It is an arithmetic number, because the mean of its divisors is an integer number (56095).

2233001 is an apocalyptic number.

It is an amenable number.

233001 is a deficient number, since it is larger than the sum of its proper divisors (103569).

233001 is a wasteful number, since it uses less digits than its factorization.

233001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25895 (or 25892 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 233001 is about 482.7017712833. The cubic root of 233001 is about 61.5345829687.

Adding to 233001 its reverse (100332), we get a palindrome (333333).

The spelling of 233001 in words is "two hundred thirty-three thousand, one".

Divisors: 1 3 9 25889 77667 233001