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231246680 = 23572127929
BaseRepresentation
bin11011100100010…
…00101101011000
3121010010112210212
431302020231120
5433144343210
634540230252
75505364400
oct1562105530
9533115725
10231246680
11109595065
126553b388
1338ba7872
14229d7800
151547c805
hexdc88b58

231246680 has 96 divisors (see below), whose sum is σ = 610675200. Its totient is φ = 78575616.

The previous prime is 231246679. The next prime is 231246689. The reversal of 231246680 is 86642132.

It is a super-2 number, since 2×2312466802 = 106950054022044800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231246689) 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 23 ways as a sum of consecutive naturals, for example, 248456 + ... + 249384.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2231246680 is an apocalyptic number.

231246680 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 231246680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

231246680 is an abundant number, since it is smaller than the sum of its proper divisors (379428520).

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

231246680 is a wasteful number, since it uses less digits than its factorization.

231246680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 231246680 is about 15206.7971644262. The cubic root of 231246680 is about 613.7975756871.

The spelling of 231246680 in words is "two hundred thirty-one million, two hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 127 140 196 245 254 280 392 490 508 635 889 929 980 1016 1270 1778 1858 1960 2540 3556 3716 4445 4645 5080 6223 6503 7112 7432 8890 9290 12446 13006 17780 18580 24892 26012 31115 32515 35560 37160 45521 49784 52024 62230 65030 91042 117983 124460 130060 182084 227605 235966 248920 260120 364168 455210 471932 589915 825881 910420 943864 1179830 1651762 1820840 2359660 3303524 4129405 4719320 5781167 6607048 8258810 11562334 16517620 23124668 28905835 33035240 46249336 57811670 115623340 231246680