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231069312 = 2732792539
BaseRepresentation
bin11011100010111…
…01011010000000
3121002210112111200
431301131122000
5433123204222
634532341200
75504025315
oct1561353200
9532715450
10231069312
11109483881
1265474800
1338b44c06
142298cd0c
1515444eac
hexdc5d680

231069312 has 96 divisors (see below), whose sum is σ = 673608000. Its totient is φ = 76018176.

The previous prime is 231069301. The next prime is 231069313. The reversal of 231069312 is 213960132.

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 (231069313) 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 11 ways as a sum of consecutive naturals, for example, 89739 + ... + 92277.

It is an arithmetic number, because the mean of its divisors is an integer number (7016750).

Almost surely, 2231069312 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 231069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336804000).

231069312 is an abundant number, since it is smaller than the sum of its proper divisors (442538688).

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

231069312 is a wasteful number, since it uses less digits than its factorization.

231069312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 231069312 is about 15200.9641799460. The cubic root of 231069312 is about 613.6406063784.

The spelling of 231069312 in words is "two hundred thirty-one million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2539 2844 3792 5056 5078 5688 7584 7617 10112 10156 11376 15168 15234 20312 22752 22851 30336 30468 40624 45504 45702 60936 81248 91008 91404 121872 162496 182808 200581 243744 324992 365616 401162 487488 601743 731232 802324 974976 1203486 1462464 1604648 1805229 2406972 2924928 3209296 3610458 4813944 6418592 7220916 9627888 12837184 14441832 19255776 25674368 28883664 38511552 57767328 77023104 115534656 231069312