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231789168 = 243313149277
BaseRepresentation
bin11011101000011…
…01001001110000
3121011011002222000
431310031021300
5433314223133
635000014000
75513114112
oct1564151160
9534132860
10231789168
111099256a6
1265761300
1339037770
1422ad93b2
1515538413
hexdd0d270

231789168 has 160 divisors (see below), whose sum is σ = 723912000. Its totient is φ = 70585344.

The previous prime is 231789167. The next prime is 231789191. The reversal of 231789168 is 861987132.

It is a super-4 number, since 4×2317891684 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231789161) 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, 836646 + ... + 836922.

It is an arithmetic number, because the mean of its divisors is an integer number (4524450).

Almost surely, 2231789168 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 231789168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361956000).

231789168 is an abundant number, since it is smaller than the sum of its proper divisors (492122832).

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

231789168 is a wasteful number, since it uses less digits than its factorization.

231789168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 231789168 is about 15224.6237391930. The cubic root of 231789168 is about 614.2771757653.

The spelling of 231789168 in words is "two hundred thirty-one million, seven hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 149 156 208 216 234 277 298 312 351 432 447 468 554 596 624 702 831 894 936 1108 1192 1341 1404 1662 1788 1872 1937 2216 2384 2493 2682 2808 3324 3576 3601 3874 4023 4432 4986 5364 5616 5811 6648 7152 7202 7479 7748 8046 9972 10728 10803 11622 13296 14404 14958 15496 16092 17433 19944 21456 21606 23244 28808 29916 30992 32184 32409 34866 39888 41273 43212 46488 52299 57616 59832 64368 64818 69732 82546 86424 92976 97227 104598 119664 123819 129636 139464 165092 172848 194454 209196 247638 259272 278928 330184 371457 388908 418392 495276 518544 536549 660368 742914 777816 836784 990552 1073098 1114371 1485828 1555632 1609647 1981104 2146196 2228742 2971656 3219294 4292392 4457484 4828941 5943312 6438588 8584784 8914968 9657882 12877176 14486823 17829936 19315764 25754352 28973646 38631528 57947292 77263056 115894584 231789168