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231330240240 = 243511194944959
BaseRepresentation
bin1101011101110001011…
…0110101011011110000
3211010002210122210102120
43113130112311123300
512242231020141430
6254134401514240
722466402412201
oct3273426653360
9733083583376
10231330240240
118a119987430
1238a00042980
1318a78179678
14b2a707d5a8
15603dc63610
hex35dc5b56f0

231330240240 has 160 divisors (see below), whose sum is σ = 782735616000. Its totient is φ = 56050037760.

The previous prime is 231330240199. The next prime is 231330240241. The reversal of 231330240240 is 42042033132.

231330240240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313302402402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231330240240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231330240241) 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, 5122881 + ... + 5167839.

It is an arithmetic number, because the mean of its divisors is an integer number (4892097600).

Almost surely, 2231330240240 is an apocalyptic number.

231330240240 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 231330240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391367808000).

231330240240 is an abundant number, since it is smaller than the sum of its proper divisors (551405375760).

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

231330240240 is a wasteful number, since it uses less digits than its factorization.

231330240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46935 (or 46929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 231330240240 its reverse (42042033132), we get a palindrome (273372273372).

The spelling of 231330240240 in words is "two hundred thirty-one billion, three hundred thirty million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1949 2640 3898 5847 7796 9745 11694 15592 19490 21439 23388 29235 31184 38980 42878 44959 46776 58470 64317 77960 85756 89918 93552 107195 116940 128634 134877 155920 171512 179836 214390 224795 233880 257268 269754 321585 343024 359672 428780 449590 467760 494549 514536 539508 643170 674385 719344 857560 899180 989098 1029072 1079016 1286340 1348770 1483647 1715120 1798360 1978196 2158032 2472745 2572680 2697540 2967294 3596720 3956392 4945490 5145360 5395080 5934588 7418235 7912784 9890980 10790160 11869176 14836470 19781960 23738352 29672940 39563920 59345880 87625091 118691760 175250182 262875273 350500364 438125455 525750546 701000728 876250910 963876001 1051501092 1314376365 1402001456 1752501820 1927752002 2103002184 2628752730 2891628003 3505003640 3855504004 4206004368 4819380005 5257505460 5783256006 7010007280 7711008008 9638760010 10515010920 11566512012 14458140015 15422016016 19277520020 21030021840 23133024024 28916280030 38555040040 46266048048 57832560060 77110080080 115665120120 231330240240