Search a number
-
+
231423240 = 233523191439
BaseRepresentation
bin11011100101100…
…11110100001000
3121010110112000010
431302303310020
5433221020430
634544111520
75510031216
oct1562636410
9533415003
10231423240
111096a5784
12656055a0
1338c3a039
1422a41cb6
15154b4cb0
hexdcb3d08

231423240 has 128 divisors (see below), whose sum is σ = 729907200. Its totient is φ = 58586880.

The previous prime is 231423239. The next prime is 231423259. The reversal of 231423240 is 42324132.

231423240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526941 + ... + 527379.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2231423240 is an apocalyptic number.

231423240 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 231423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364953600).

231423240 is an abundant number, since it is smaller than the sum of its proper divisors (498483960).

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

231423240 is a wasteful number, since it uses less digits than its factorization.

231423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 231423240 is about 15212.6013554553. The cubic root of 231423240 is about 613.9537502255.

Adding to 231423240 its reverse (42324132), we get a palindrome (273747372).

The spelling of 231423240 in words is "two hundred thirty-one million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 191 230 276 345 382 439 460 552 573 690 764 878 920 955 1146 1317 1380 1528 1756 1910 2195 2292 2634 2760 2865 3512 3820 4390 4393 4584 5268 5730 6585 7640 8780 8786 10097 10536 11460 13170 13179 17560 17572 20194 21965 22920 26340 26358 30291 35144 40388 43930 50485 52680 52716 60582 65895 80776 83849 87860 100970 105432 121164 131790 151455 167698 175720 201940 242328 251547 263580 302910 335396 403880 419245 503094 527160 605820 670792 838490 1006188 1211640 1257735 1676980 1928527 2012376 2515470 3353960 3857054 5030940 5785581 7714108 9642635 10061880 11571162 15428216 19285270 23142324 28927905 38570540 46284648 57855810 77141080 115711620 231423240