Search a number
-
+
231812928 = 263497461
BaseRepresentation
bin11011101000100…
…10111101000000
3121011012022120000
431310102331000
5433321003203
635000320000
75513243304
oct1564227500
9534168500
10231812928
11109941536
1265773000
1339045519
1422b03d04
15155404a3
hexdd12f40

231812928 has 140 divisors (see below), whose sum is σ = 695756292. Its totient is φ = 76308480.

The previous prime is 231812927. The next prime is 231813011. The reversal of 231812928 is 829218132.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 142850304 = 9432^2 + 11952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231812892 and 231812901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231812927) 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 19 ways as a sum of consecutive naturals, for example, 502618 + ... + 503078.

Almost surely, 2231812928 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 231812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347878146).

231812928 is an abundant number, since it is smaller than the sum of its proper divisors (463943364).

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

231812928 is an equidigital number, since it uses as much as digits as its factorization.

231812928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 563 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 231812928 is about 15225.4040340478. The cubic root of 231812928 is about 614.2981642742.

The spelling of 231812928 in words is "two hundred thirty-one million, eight hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 288 291 324 388 432 461 576 582 648 776 864 873 922 1164 1296 1383 1552 1728 1746 1844 2328 2592 2619 2766 3104 3492 3688 4149 4656 5184 5238 5532 6208 6984 7376 7857 8298 9312 10476 11064 12447 13968 14752 15714 16596 18624 20952 22128 24894 27936 29504 31428 33192 37341 41904 44256 44717 49788 55872 62856 66384 74682 83808 88512 89434 99576 125712 132768 134151 149364 167616 178868 199152 251424 265536 268302 298728 357736 398304 402453 502848 536604 597456 715472 796608 804906 1073208 1194912 1207359 1430944 1609812 2146416 2389824 2414718 2861888 3219624 3622077 4292832 4829436 6439248 7244154 8585664 9658872 12878496 14488308 19317744 25756992 28976616 38635488 57953232 77270976 115906464 231812928