Search a number
-
+
231231968 = 251136189
BaseRepresentation
bin11011100100001…
…01000111100000
3121010002210121222
431302011013200
5433143410333
634540034212
75505303452
oct1562050740
9533083558
10231231968
11109585000
1265532968
1338ba0c66
14229d22d2
1515478298
hexdc851e0

231231968 has 96 divisors (see below), whose sum is σ = 514654560. Its totient is φ = 102220800.

The previous prime is 231231947. The next prime is 231231971. The reversal of 231231968 is 869132132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598068 + ... + 2598156.

It is an arithmetic number, because the mean of its divisors is an integer number (5360985).

Almost surely, 2231231968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257327280).

231231968 is an abundant number, since it is smaller than the sum of its proper divisors (283422592).

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

231231968 is an equidigital number, since it uses as much as digits as its factorization.

231231968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 231231968 is about 15206.3134256795. The cubic root of 231231968 is about 613.7845587342.

The spelling of 231231968 in words is "two hundred thirty-one million, two hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 89 121 122 176 178 242 244 352 356 484 488 671 712 968 976 979 1331 1342 1424 1936 1952 1958 2662 2684 2848 3872 3916 5324 5368 5429 7381 7832 10648 10736 10769 10858 14762 15664 21296 21472 21538 21716 29524 31328 42592 43076 43432 59048 59719 81191 86152 86864 118096 118459 119438 162382 172304 173728 236192 236918 238876 324764 344608 473836 477752 649528 656909 947672 955504 1299056 1313818 1895344 1911008 2598112 2627636 3790688 5255272 7225999 10510544 14451998 21021088 28903996 57807992 115615984 231231968