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231263340 = 223572117151
BaseRepresentation
bin11011100100011…
…00110001101100
3121010011101122220
431302030301230
5433200411330
634540435340
75505464100
oct1562146154
9533141586
10231263340
111095a6630
1265548b50
1338bb2319
14229dd900
1515482710
hexdc8cc6c

231263340 has 144 divisors (see below), whose sum is σ = 821850624. Its totient is φ = 48048000.

The previous prime is 231263311. The next prime is 231263341. The reversal of 231263340 is 43362132.

231263340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231263340.

It is not an unprimeable number, because it can be changed into a prime (231263341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28765 + ... + 35915.

It is an arithmetic number, because the mean of its divisors is an integer number (5707296).

Almost surely, 2231263340 is an apocalyptic number.

231263340 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 231263340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410925312).

231263340 is an abundant number, since it is smaller than the sum of its proper divisors (590587284).

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

231263340 is a wasteful number, since it uses less digits than its factorization.

231263340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 231263340 is about 15207.3449359183. The cubic root of 231263340 is about 613.8123155341.

The spelling of 231263340 in words is "two hundred thirty-one million, two hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 7151 8085 10780 14302 16170 21453 28604 32340 35755 42906 50057 71510 78661 85812 100114 107265 143020 150171 157322 200228 214530 235983 250285 300342 314644 350399 393305 429060 471966 500570 550627 600684 700798 750855 786610 943932 1001140 1051197 1101254 1179915 1401596 1501710 1573220 1651881 1751995 2102394 2202508 2359830 2753135 3003420 3303762 3503990 3854389 4204788 4719660 5255985 5506270 6607524 7007980 7708778 8259405 10511970 11012540 11563167 15417556 16518810 19271945 21023940 23126334 33037620 38543890 46252668 57815835 77087780 115631670 231263340