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231432124 = 227114671609
BaseRepresentation
bin11011100101101…
…01111110111100
3121010110222012011
431302311332330
5433221311444
634544221004
75510066140
oct1562657674
9533428164
10231432124
11109701420
126560a764
1338c410b1
1422a45220
15154b7734
hexdcb5fbc

231432124 has 48 divisors (see below), whose sum is σ = 506338560. Its totient is φ = 89919360.

The previous prime is 231432121. The next prime is 231432139. The reversal of 231432124 is 421234132.

It is a super-4 number, since 4×2314321244 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 231432095 and 231432104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231432121) 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, 143032 + ... + 144640.

It is an arithmetic number, because the mean of its divisors is an integer number (10548720).

Almost surely, 2231432124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253169280).

231432124 is an abundant number, since it is smaller than the sum of its proper divisors (274906436).

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

231432124 is a wasteful number, since it uses less digits than its factorization.

231432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2096 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 231432124 is about 15212.8933474208. The cubic root of 231432124 is about 613.9616063874.

Adding to 231432124 its reverse (421234132), we get a palindrome (652666256).

The spelling of 231432124 in words is "two hundred thirty-one million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 467 934 1609 1868 3218 3269 5137 6436 6538 10274 11263 13076 17699 20548 22526 35398 35959 45052 70796 71918 123893 143836 247786 495572 751403 1502806 3005612 5259821 8265433 10519642 16530866 21039284 33061732 57858031 115716062 231432124