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231296280 = 233523181463
BaseRepresentation
bin11011100100101…
…00110100011000
3121010020001211220
431302110310120
5433202440110
634541252040
75505662115
oct1562246430
9533201756
10231296280
11109619356
1265564020
1338bc4307
1422a0b90c
151548c370
hexdc94d18

231296280 has 128 divisors (see below), whose sum is σ = 729630720. Its totient is φ = 58544640.

The previous prime is 231296207. The next prime is 231296281. The reversal of 231296280 is 82692132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231296281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499329 + ... + 499791.

It is an arithmetic number, because the mean of its divisors is an integer number (5700240).

Almost surely, 2231296280 is an apocalyptic number.

231296280 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 231296280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364815360).

231296280 is an abundant number, since it is smaller than the sum of its proper divisors (498334440).

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

231296280 is a wasteful number, since it uses less digits than its factorization.

231296280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 231296280 is about 15208.4279266465. The cubic root of 231296280 is about 613.8414569418.

The spelling of 231296280 in words is "two hundred thirty-one million, two hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 181 184 230 276 345 362 460 463 543 552 690 724 905 920 926 1086 1380 1389 1448 1810 1852 2172 2315 2715 2760 2778 3620 3704 4163 4344 4630 5430 5556 6945 7240 8326 9260 10649 10860 11112 12489 13890 16652 18520 20815 21298 21720 24978 27780 31947 33304 41630 42596 49956 53245 55560 62445 63894 83260 83803 85192 99912 106490 124890 127788 159735 166520 167606 212980 249780 251409 255576 319470 335212 419015 425960 499560 502818 638940 670424 838030 1005636 1257045 1277880 1676060 1927469 2011272 2514090 3352120 3854938 5028180 5782407 7709876 9637345 10056360 11564814 15419752 19274690 23129628 28912035 38549380 46259256 57824070 77098760 115648140 231296280