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231263472 = 243113171199
BaseRepresentation
bin11011100100011…
…00110011110000
3121010011101211210
431302030303300
5433200412342
634540440120
75505464346
oct1562146360
9533141753
10231263472
111095a6740
1265549040
1338bb23bb
14229dd996
151548279c
hexdc8ccf0

231263472 has 160 divisors (see below), whose sum is σ = 685670400. Its totient is φ = 66528000.

The previous prime is 231263467. The next prime is 231263491. The reversal of 231263472 is 274362132.

231263472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162029 + ... + 1162227.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2231263472 is an apocalyptic number.

231263472 is a gapful number since it is divisible by the number (22) 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 231263472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342835200).

231263472 is an abundant number, since it is smaller than the sum of its proper divisors (454406928).

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

231263472 is a wasteful number, since it uses less digits than its factorization.

231263472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 231263472 is about 15207.3492759258. The cubic root of 231263472 is about 613.8124323176.

The spelling of 231263472 in words is "two hundred thirty-one million, two hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 71 88 93 124 132 142 176 186 199 213 248 264 284 341 372 398 426 496 528 568 597 682 744 781 796 852 1023 1136 1194 1364 1488 1562 1592 1704 2046 2189 2201 2343 2388 2728 3124 3184 3408 4092 4378 4402 4686 4776 5456 6169 6248 6567 6603 8184 8756 8804 9372 9552 12338 12496 13134 13206 14129 16368 17512 17608 18507 18744 24211 24676 26268 26412 28258 35024 35216 37014 37488 42387 48422 49352 52536 52824 56516 67859 72633 74028 84774 96844 98704 105072 105648 113032 135718 145266 148056 155419 169548 193688 203577 226064 271436 290532 296112 310838 339096 387376 407154 437999 466257 542872 581064 621676 678192 814308 875998 932514 1085744 1162128 1243352 1313997 1628616 1751996 1865028 2486704 2627994 3257232 3503992 3730056 4817989 5255988 7007984 7460112 9635978 10511976 14453967 19271956 21023952 28907934 38543912 57815868 77087824 115631736 231263472