Search a number
-
+
232042231 = 17196111777
BaseRepresentation
bin11011101010010…
…10111011110111
3121011121222002201
431311022323313
5433400322411
635005245331
75515216651
oct1565127367
9534558081
10232042231
11109a88843
1265863847
13390c59c5
1422b636d1
15155883c1
hexdd4aef7

232042231 has 16 divisors (see below), whose sum is σ = 262884960. Its totient is φ = 203489280.

The previous prime is 232042189. The next prime is 232042277. The reversal of 232042231 is 132240232.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232042231 is a prime.

It is a super-2 number, since 2×2320422312 = 107687193934914722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232042199 and 232042208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232042631) 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 15 ways as a sum of consecutive naturals, for example, 13815 + ... + 25591.

It is an arithmetic number, because the mean of its divisors is an integer number (16430310).

Almost surely, 2232042231 is an apocalyptic number.

232042231 is a deficient number, since it is larger than the sum of its proper divisors (30842729).

232042231 is a wasteful number, since it uses less digits than its factorization.

232042231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 232042231 is about 15232.9324491380. The cubic root of 232042231 is about 614.5006464992.

Adding to 232042231 its reverse (132240232), we get a palindrome (364282463).

It can be divided in two parts, 2320 and 42231, that added together give a triangular number (44551 = T298).

The spelling of 232042231 in words is "two hundred thirty-two million, forty-two thousand, two hundred thirty-one".

Divisors: 1 17 19 61 323 1037 1159 11777 19703 200209 223763 718397 3803971 12212749 13649543 232042231