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231232023 = 3311778559
BaseRepresentation
bin11011100100001…
…01001000010111
3121010002210201000
431302011020113
5433143411043
634540034343
75505303561
oct1562051027
9533083630
10231232023
11109585050
12655329b3
1338ba0ca9
14229d2331
15154782d3
hexdc85217

231232023 has 16 divisors (see below), whose sum is σ = 373708800. Its totient is φ = 140140440.

The previous prime is 231232009. The next prime is 231232061. The reversal of 231232023 is 320232132.

It is a happy number.

It is not a de Polignac number, because 231232023 - 213 = 231223831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231231987 and 231232005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231232003) 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 15 ways as a sum of consecutive naturals, for example, 388983 + ... + 389576.

It is an arithmetic number, because the mean of its divisors is an integer number (23356800).

Almost surely, 2231232023 is an apocalyptic number.

231232023 is a deficient number, since it is larger than the sum of its proper divisors (142476777).

231232023 is a wasteful number, since it uses less digits than its factorization.

231232023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778579 (or 778573 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 231232023 is about 15206.3152341387. The cubic root of 231232023 is about 613.7846073984.

Adding to 231232023 its reverse (320232132), we get a palindrome (551464155).

The spelling of 231232023 in words is "two hundred thirty-one million, two hundred thirty-two thousand, twenty-three".

Divisors: 1 3 9 11 27 33 99 297 778559 2335677 7007031 8564149 21021093 25692447 77077341 231232023