Search a number
-
+
231868 = 2273132
BaseRepresentation
bin111000100110111100
3102210001201
4320212330
524404433
64545244
71654000
oct704674
9383051
10231868
1114922a
12b2224
1381700
1460700
1548a7d
hex389bc

231868 has 36 divisors (see below), whose sum is σ = 512400. Its totient is φ = 91728.

The previous prime is 231859. The next prime is 231871. The reversal of 231868 is 868132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

231868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17830 + ... + 17842.

2231868 is an apocalyptic number.

231868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256200).

231868 is an abundant number, since it is smaller than the sum of its proper divisors (280532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231868 is a wasteful number, since it uses less digits than its factorization.

231868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 22 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 231868 is about 481.5267386138. The cubic root of 231868 is about 61.4346806873.

Multiplying 231868 by its sum of digits (28), we get a square (6492304 = 25482).

231868 divided by its sum of digits (28) gives a square (8281 = 912).

It can be divided in two parts, 23 and 1868, that added together give a triangular number (1891 = T61).

The spelling of 231868 in words is "two hundred thirty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 364 637 676 686 1183 1274 1372 2366 2548 4459 4732 8281 8918 16562 17836 33124 57967 115934 231868