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231983361 = 3250772
BaseRepresentation
bin11011101001111…
…00100100000001
3121011111222100100
431310330210001
5433341431421
635004113013
75514553221
oct1564744401
9534458310
10231983361
11109a48595
1265835769
13390a4c7c
1422b4a081
1515575c26
hexdd3c901

231983361 has 9 divisors (see below), whose sum is σ = 335153091. Its totient is φ = 154625112.

The previous prime is 231983347. The next prime is 231983387. The reversal of 231983361 is 163389132.

The square root of 231983361 is 15231.

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

231983361 is a `hidden beast` number, since 2 + 319 + 8 + 336 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 225450225 + 6533136 = 15015^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 231983361 - 25 = 231983329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231983321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43155 + ... + 48231.

Almost surely, 2231983361 is an apocalyptic number.

231983361 is the 15231-st square number.

231983361 is the 7616-th centered octagonal number.

It is an amenable number.

231983361 is a deficient number, since it is larger than the sum of its proper divisors (103169730).

231983361 is an frugal number, since it uses more digits than its factorization.

231983361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 5080 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The cubic root of 231983361 is about 614.4486750504.

Multiplying 231983361 by its sum of digits (36), we get a square (8351400996 = 913862).

The spelling of 231983361 in words is "two hundred thirty-one million, nine hundred eighty-three thousand, three hundred sixty-one".

Divisors: 1 3 9 5077 15231 45693 25775929 77327787 231983361