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231125664 = 25371131267
BaseRepresentation
bin11011100011010…
…11001010100000
3121002220101210210
431301223022200
5433132010124
634533454120
75504351520
oct1561531240
9532811723
10231125664
11109512150
12654a1340
1338b64763
14229a5680
1515456a29
hexdc6b2a0

231125664 has 96 divisors (see below), whose sum is σ = 756435456. Its totient is φ = 60030720.

The previous prime is 231125647. The next prime is 231125669. The reversal of 231125664 is 466521132.

231125664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (231125669) 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 15 ways as a sum of consecutive naturals, for example, 8242 + ... + 23025.

It is an arithmetic number, because the mean of its divisors is an integer number (7879536).

Almost surely, 2231125664 is an apocalyptic number.

231125664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231125664 is an abundant number, since it is smaller than the sum of its proper divisors (525309792).

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

231125664 is a wasteful number, since it uses less digits than its factorization.

231125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31298 (or 31290 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 231125664 is about 15202.8176335836. The cubic root of 231125664 is about 613.6904861663.

Adding to 231125664 its reverse (466521132), we get a palindrome (697646796).

The spelling of 231125664 in words is "two hundred thirty-one million, one hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 31267 62534 93801 125068 187602 218869 250136 343937 375204 437738 500272 656607 687874 750408 875476 1000544 1031811 1313214 1375748 1500816 1750952 2063622 2407559 2626428 2751496 3001632 3501904 4127244 4815118 5252856 5502992 7003808 7222677 8254488 9630236 10505712 11005984 14445354 16508976 19260472 21011424 28890708 33017952 38520944 57781416 77041888 115562832 231125664