Search a number
-
+
231193431 = 3278941233
BaseRepresentation
bin11011100011110…
…11101101010111
3121010000211202200
431301323231113
5433141142211
634535135543
75505053220
oct1561735527
9533024680
10231193431
11109559057
12655145b3
1338b89561
14229c2247
151546bb56
hexdc7bb57

231193431 has 24 divisors (see below), whose sum is σ = 385950240. Its totient is φ = 130622976.

The previous prime is 231193373. The next prime is 231193439. The reversal of 231193431 is 134391132.

231193431 is a `hidden beast` number, since 2 + 311 + 9 + 343 + 1 = 666.

It is not a de Polignac number, because 231193431 - 210 = 231192407 is a prime.

It is a super-2 number, since 2×2311934312 = 106900805075103522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231193395 and 231193404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231193439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15010 + ... + 26223.

It is an arithmetic number, because the mean of its divisors is an integer number (16081260).

Almost surely, 2231193431 is an apocalyptic number.

231193431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231193431 is a deficient number, since it is larger than the sum of its proper divisors (154756809).

231193431 is a wasteful number, since it uses less digits than its factorization.

231193431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41335 (or 41332 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 231193431 is about 15205.0462347209. The cubic root of 231193431 is about 613.7504591676.

The spelling of 231193431 in words is "two hundred thirty-one million, one hundred ninety-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 89 267 623 801 1869 5607 41233 123699 288631 371097 865893 2597679 3669737 11009211 25688159 33027633 77064477 231193431