Search a number
-
+
231238260 = 223351123539
BaseRepresentation
bin11011100100001…
…10101001110100
3121010010010021000
431302012221310
5433144111020
634540123300
75505331011
oct1562065164
9533103230
10231238260
11109589800
1265536530
1338ba3a96
14229d4708
151547a090
hexdc86a74

231238260 has 144 divisors (see below), whose sum is σ = 790977600. Its totient is φ = 56041920.

The previous prime is 231238253. The next prime is 231238277. The reversal of 231238260 is 62832132.

231238260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2312382602 = 106942265775655200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63571 + ... + 67109.

It is an arithmetic number, because the mean of its divisors is an integer number (5492900).

Almost surely, 2231238260 is an apocalyptic number.

231238260 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 231238260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395488800).

231238260 is an abundant number, since it is smaller than the sum of its proper divisors (559739340).

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

231238260 is a wasteful number, since it uses less digits than its factorization.

231238260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 231238260 is about 15206.5203120240. The cubic root of 231238260 is about 613.7901258673.

The spelling of 231238260 in words is "two hundred thirty-one million, two hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3539 3630 4356 5445 5940 6534 7078 7260 10617 10890 13068 14156 16335 17695 21234 21780 31851 32670 35390 38929 42468 53085 63702 65340 70780 77858 95553 106170 116787 127404 155716 159255 191106 194645 212340 233574 318510 350361 382212 389290 428219 467148 477765 583935 637020 700722 778580 856438 955530 1051083 1167870 1284657 1401444 1712876 1751805 1911060 2102166 2141095 2335740 2569314 3503610 3853971 4204332 4282190 5138628 5255415 6423285 7007220 7707942 8564380 10510830 11561913 12846570 15415884 19269855 21021660 23123826 25693140 38539710 46247652 57809565 77079420 115619130 231238260