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231331240 = 235717232113
BaseRepresentation
bin11011100100111…
…01010110101000
3121010021211210201
431302131112220
5433210044430
634542121544
75506166050
oct1562352650
9533254721
10231331240
11109642648
12655802b4
1338c071ba
1422a1a560
15154978ca
hexdc9d5a8

231331240 has 128 divisors (see below), whose sum is σ = 657538560. Its totient is φ = 71368704.

The previous prime is 231331237. The next prime is 231331249. The reversal of 231331240 is 42133132.

231331240 = 702 + 712 + ... + 8852.

It is not an unprimeable number, because it can be changed into a prime (231331249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108424 + ... + 110536.

It is an arithmetic number, because the mean of its divisors is an integer number (5137020).

Almost surely, 2231331240 is an apocalyptic number.

231331240 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 231331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328769280).

231331240 is an abundant number, since it is smaller than the sum of its proper divisors (426207320).

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

231331240 is a wasteful number, since it uses less digits than its factorization.

231331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 231331240 is about 15209.5772459329. The cubic root of 231331240 is about 613.8723823796.

Adding to 231331240 its reverse (42133132), we get a palindrome (273464372).

The spelling of 231331240 in words is "two hundred thirty-one million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 23 28 34 35 40 46 56 68 70 85 92 115 119 136 140 161 170 184 230 238 280 322 340 391 460 476 595 644 680 782 805 920 952 1190 1288 1564 1610 1955 2113 2380 2737 3128 3220 3910 4226 4760 5474 6440 7820 8452 10565 10948 13685 14791 15640 16904 21130 21896 27370 29582 35921 42260 48599 54740 59164 71842 73955 84520 97198 109480 118328 143684 147910 179605 194396 242995 251447 287368 295820 340193 359210 388792 485990 502894 591640 680386 718420 826183 971980 1005788 1257235 1360772 1436840 1652366 1700965 1943960 2011576 2514470 2721544 3304732 3401930 4130915 5028940 5783281 6609464 6803860 8261830 10057880 11566562 13607720 16523660 23133124 28916405 33047320 46266248 57832810 115665620 231331240