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232001 = 71123131
BaseRepresentation
bin111000101001000001
3102210020122
4320221001
524411001
64550025
71654250
oct705101
9383218
10232001
11149340
12b2315
13817a3
1460797
1548b1b
hex38a41

232001 has 16 divisors (see below), whose sum is σ = 304128. Its totient is φ = 171600.

The previous prime is 231967. The next prime is 232003. The reversal of 232001 is 100232.

It is not a de Polignac number, because 232001 - 210 = 230977 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 232001.

It is not an unprimeable number, because it can be changed into a prime (232003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706 + ... + 1836.

It is an arithmetic number, because the mean of its divisors is an integer number (19008).

2232001 is an apocalyptic number.

It is an amenable number.

232001 is a deficient number, since it is larger than the sum of its proper divisors (72127).

232001 is a wasteful number, since it uses less digits than its factorization.

232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 232001 is about 481.6648212191. The cubic root of 232001 is about 61.4464247986.

Adding to 232001 its reverse (100232), we get a palindrome (332233).

Subtracting from 232001 its reverse (100232), we obtain a square (131769 = 3632).

The spelling of 232001 in words is "two hundred thirty-two thousand, one".

Divisors: 1 7 11 23 77 131 161 253 917 1441 1771 3013 10087 21091 33143 232001