Search a number
-
+
235031140 = 225195691087
BaseRepresentation
bin11100000001001…
…00101001100100
3121101020211010001
432000210221210
5440131444030
635153311044
75552505661
oct1600445144
9541224101
10235031140
1111073a413
1266865484
13399012a6
1423300a68
1515978cca
hexe024a64

235031140 has 48 divisors (see below), whose sum is σ = 520934400. Its totient is φ = 88826112.

The previous prime is 235031123. The next prime is 235031143. The reversal of 235031140 is 41130532.

It is a super-3 number, since 3×2350311403 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (235031143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215677 + ... + 216763.

It is an arithmetic number, because the mean of its divisors is an integer number (10852800).

Almost surely, 2235031140 is an apocalyptic number.

235031140 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 235031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

235031140 is an abundant number, since it is smaller than the sum of its proper divisors (285903260).

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

235031140 is a wasteful number, since it uses less digits than its factorization.

235031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 235031140 is about 15330.7253579209. The cubic root of 235031140 is about 617.1278355377.

Adding to 235031140 its reverse (41130532), we get a palindrome (276161672).

The spelling of 235031140 in words is "two hundred thirty-five million, thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 569 1087 1138 2174 2276 2845 4348 5435 5690 10811 10870 11380 20653 21622 21740 41306 43244 54055 82612 103265 108110 206530 216220 413060 618503 1237006 2474012 3092515 6185030 11751557 12370060 23503114 47006228 58757785 117515570 235031140