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BaseRepresentation
bin111000011111000001
3102202100221
4320133001
524400421
64543041
71652344
oct703701
9382327
10231361
11148909
12b1a81
1381400
146045b
1548841
hex387c1

231361 has 9 divisors (see below), whose sum is σ = 257481. Its totient is φ = 207792.

The previous prime is 231359. The next prime is 231367. The reversal of 231361 is 163132.

231361 = T480 + T481.

The square root of 231361 is 481.

It is a perfect power (a square), and thus also a powerful number.

231361 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 4 ways, for example, as 961 + 230400 = 31^2 + 480^2 .

It is not a de Polignac number, because 231361 - 21 = 231359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6235 + ... + 6271.

It is an arithmetic number, because the mean of its divisors is an integer number (28609).

231361 is a Friedman number, since it can be written as (13*(31+6))^2, using all its digits and the basic arithmetic operations.

2231361 is an apocalyptic number.

231361 is the 481-st square number.

231361 is the 241-st centered octagonal number.

It is an amenable number.

231361 is a deficient number, since it is larger than the sum of its proper divisors (26120).

231361 is an equidigital number, since it uses as much as digits as its factorization.

231361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The cubic root of 231361 is about 61.3898705469.

Multiplying 231361 by its sum of digits (16), we get a square (3701776 = 19242).

Adding to 231361 its reverse (163132), we get a palindrome (394493).

The spelling of 231361 in words is "two hundred thirty-one thousand, three hundred sixty-one".

Divisors: 1 13 37 169 481 1369 6253 17797 231361