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231204240 = 24335293691
BaseRepresentation
bin11011100011111…
…10010110010000
3121010001101121000
431301332112100
5433142013430
634535302000
75505126561
oct1561762620
9533041530
10231204240
11109566193
126551a900
1338b91457
14229c6168
151546ee60
hexdc7e590

231204240 has 160 divisors (see below), whose sum is σ = 824054400. Its totient is φ = 59512320.

The previous prime is 231204229. The next prime is 231204241. The reversal of 231204240 is 42402132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231204241) 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, 60795 + ... + 64485.

It is an arithmetic number, because the mean of its divisors is an integer number (5150340).

Almost surely, 2231204240 is an apocalyptic number.

231204240 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 231204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412027200).

231204240 is an abundant number, since it is smaller than the sum of its proper divisors (592850160).

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

231204240 is a wasteful number, since it uses less digits than its factorization.

231204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 231204240 is about 15205.4016717744. The cubic root of 231204240 is about 613.7600239222.

Adding to 231204240 its reverse (42402132), we get a palindrome (273606372).

The spelling of 231204240 in words is "two hundred thirty-one million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3132 3480 3691 3915 4176 5220 6264 6960 7382 7830 10440 11073 12528 14764 15660 18455 20880 22146 29528 31320 33219 36910 44292 55365 59056 62640 66438 73820 88584 99657 107039 110730 132876 147640 166095 177168 199314 214078 221460 265752 295280 321117 332190 398628 428156 442920 498285 531504 535195 642234 664380 797256 856312 885840 963351 996570 1070390 1284468 1328760 1594512 1605585 1712624 1926702 1993140 2140780 2568936 2657520 2890053 3211170 3853404 3986280 4281560 4816755 5137872 5780106 6422340 7706808 7972560 8563120 9633510 11560212 12844680 14450265 15413616 19267020 23120424 25689360 28900530 38534040 46240848 57801060 77068080 115602120 231204240