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230333 = 172797
BaseRepresentation
bin111000001110111101
3102200221212
4320032331
524332313
64534205
71646345
oct701675
9380855
10230333
11148064
12b1365
1380abc
145dd25
15483a8
hex383bd

230333 has 6 divisors (see below), whose sum is σ = 244986. Its totient is φ = 216512.

The previous prime is 230327. The next prime is 230339. The reversal of 230333 is 333032.

It is an interprime number because it is at equal distance from previous prime (230327) and next prime (230339).

It can be written as a sum of positive squares in 3 ways, for example, as 91204 + 139129 = 302^2 + 373^2 .

It is not a de Polignac number, because 230333 - 28 = 230077 is a prime.

It is a Duffinian number.

230333 is a modest number, since divided by 333 gives 230 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 230333.

It is not an unprimeable number, because it can be changed into a prime (230339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (40831).

2230333 is an apocalyptic number.

It is an amenable number.

230333 is a deficient number, since it is larger than the sum of its proper divisors (14653).

230333 is an equidigital number, since it uses as much as digits as its factorization.

230333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 14.

The square root of 230333 is about 479.9302032588. The cubic root of 230333 is about 61.2988115695.

Adding to 230333 its reverse (333032), we get a palindrome (563365).

The spelling of 230333 in words is "two hundred thirty thousand, three hundred thirty-three".

Divisors: 1 17 289 797 13549 230333