Search a number
-
+
231113872 = 241121961103
BaseRepresentation
bin11011100011010…
…00010010010000
3121002212210122001
431301220102100
5433131120442
634533323344
75504302243
oct1561502220
9532783561
10231113872
11109504300
1265496554
1338b5c292
14229a125a
15154532b7
hexdc68490

231113872 has 120 divisors (see below), whose sum is σ = 531702080. Its totient is φ = 96940800.

The previous prime is 231113851. The next prime is 231113893. The reversal of 231113872 is 278311132.

It is an interprime number because it is at equal distance from previous prime (231113851) and next prime (231113893).

It is a self number, because there is not a number n which added to its sum of digits gives 231113872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243773 + ... + 2243875.

Almost surely, 2231113872 is an apocalyptic number.

231113872 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 231113872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265851040).

231113872 is an abundant number, since it is smaller than the sum of its proper divisors (300588208).

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

231113872 is a wasteful number, since it uses less digits than its factorization.

231113872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 231113872 is about 15202.4298057909. The cubic root of 231113872 is about 613.6800491870.

The spelling of 231113872 in words is "two hundred thirty-one million, one hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 61 76 88 103 121 122 152 176 206 209 242 244 304 412 418 484 488 671 824 836 968 976 1133 1159 1342 1648 1672 1936 1957 2266 2299 2318 2684 3344 3914 4532 4598 4636 5368 6283 7381 7828 9064 9196 9272 10736 12463 12566 12749 14762 15656 18128 18392 18544 21527 24926 25132 25498 29524 31312 36784 43054 49852 50264 50996 59048 69113 86108 99704 100528 101992 118096 119377 138226 140239 172216 199408 203984 236797 238754 276452 280478 344432 473594 477508 552904 560956 760243 947188 955016 1105808 1121912 1313147 1520486 1894376 1910032 2243824 2626294 3040972 3788752 5252588 6081944 10505176 12163888 14444617 21010352 28889234 57778468 115556936 231113872