Search a number
-
+
231130000 = 245429797
BaseRepresentation
bin11011100011011…
…00001110010000
3121002220121202101
431301230032100
5433132130000
634533530144
75504400253
oct1561541620
9532817671
10231130000
11109515432
12654a3954
1338b6671a
14229a709a
1515457e6a
hexdc6c390

231130000 has 100 divisors (see below), whose sum is σ = 579611340. Its totient is φ = 89152000.

The previous prime is 231129953. The next prime is 231130001. The reversal of 231130000 is 31132.

It can be written as a sum of positive squares in 10 ways, for example, as 176783616 + 54346384 = 13296^2 + 7372^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (231130001) 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 19 ways as a sum of consecutive naturals, for example, 289602 + ... + 290398.

Almost surely, 2231130000 is an apocalyptic number.

231130000 is a gapful number since it is divisible by the number (20) 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 231130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289805670).

231130000 is an abundant number, since it is smaller than the sum of its proper divisors (348481340).

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

231130000 is an equidigital number, since it uses as much as digits as its factorization.

231130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 231130000 is about 15202.9602380589. The cubic root of 231130000 is about 613.6943238265.

Adding to 231130000 its reverse (31132), we get a palindrome (231161132).

The spelling of 231130000 in words is "two hundred thirty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 797 1000 1160 1250 1450 1594 2000 2320 2500 2900 3188 3625 3985 5000 5800 6376 7250 7970 10000 11600 12752 14500 15940 18125 19925 23113 29000 31880 36250 39850 46226 58000 63760 72500 79700 92452 99625 115565 145000 159400 184904 199250 231130 290000 318800 369808 398500 462260 498125 577825 797000 924520 996250 1155650 1594000 1849040 1992500 2311300 2889125 3985000 4622600 5778250 7970000 9245200 11556500 14445625 23113000 28891250 46226000 57782500 115565000 231130000