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231023474440 = 235115350919463
BaseRepresentation
bin1101011100101000010…
…0100111011100001000
3211002022102102110212021
43113022010213130020
512241114002140230
6254044122454224
722455656063233
oct3271204473410
9732272373767
10231023474440
1189a81801780
1238935364374
1318a29750145
14b27842841a
156021d69c7a
hex35ca127708

231023474440 has 128 divisors (see below), whose sum is σ = 578921644800. Its totient is φ = 82257310720.

The previous prime is 231023474399. The next prime is 231023474443. The reversal of 231023474440 is 44474320132.

It is a junction number, because it is equal to n+sod(n) for n = 231023474396 and 231023474405.

It is not an unprimeable number, because it can be changed into a prime (231023474443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11860149 + ... + 11879611.

It is an arithmetic number, because the mean of its divisors is an integer number (4522825350).

Almost surely, 2231023474440 is an apocalyptic number.

231023474440 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 231023474440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289460822400).

231023474440 is an abundant number, since it is smaller than the sum of its proper divisors (347898170360).

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

231023474440 is a wasteful number, since it uses less digits than its factorization.

231023474440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20047 (or 20043 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

Adding to 231023474440 its reverse (44474320132), we get a palindrome (275497794572).

The spelling of 231023474440 in words is "two hundred thirty-one billion, twenty-three million, four hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 509 530 583 1018 1060 1166 2036 2120 2332 2545 2915 4072 4664 5090 5599 5830 10180 11198 11660 19463 20360 22396 23320 26977 27995 38926 44792 53954 55990 77852 97315 107908 111980 134885 155704 194630 214093 215816 223960 269770 296747 389260 428186 539540 593494 778520 856372 1031539 1070465 1079080 1186988 1483735 1712744 2063078 2140930 2373976 2967470 4126156 4281860 5157695 5934940 8252312 8563720 9906667 10315390 11346929 11869880 19813334 20630780 22693858 39626668 41261560 45387716 49533335 56734645 79253336 90775432 99066670 108973337 113469290 198133340 217946674 226938580 396266680 435893348 453877160 525053351 544866685 871786696 1050106702 1089733370 2100213404 2179466740 2625266755 4200426808 4358933480 5250533510 5775586861 10501067020 11551173722 21002134040 23102347444 28877934305 46204694888 57755868610 115511737220 231023474440