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230753 = 2973109
BaseRepresentation
bin111000010101100001
3102201112102
4320111201
524341003
64540145
71650515
oct702541
9381472
10230753
11148406
12b1655
1381053
1460145
1548588
hex38561

230753 has 8 divisors (see below), whose sum is σ = 244200. Its totient is φ = 217728.

The previous prime is 230743. The next prime is 230761. The reversal of 230753 is 357032.

It can be written as a sum of positive squares in 4 ways, for example, as 61009 + 169744 = 247^2 + 412^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 230753 - 212 = 226657 is a prime.

It is a super-3 number, since 3×2307533 = 36860678289503331, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

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 230753.

It is not an unprimeable number, because it can be changed into a prime (230743) 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, 2063 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (30525).

2230753 is an apocalyptic number.

It is an amenable number.

230753 is a deficient number, since it is larger than the sum of its proper divisors (13447).

230753 is a wasteful number, since it uses less digits than its factorization.

230753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 230753 is about 480.3675675980. The cubic root of 230753 is about 61.3360473227.

Adding to 230753 its reverse (357032), we get a palindrome (587785).

The spelling of 230753 in words is "two hundred thirty thousand, seven hundred fifty-three".

Divisors: 1 29 73 109 2117 3161 7957 230753