Search a number
-
+
231283248 = 24371813803
BaseRepresentation
bin11011100100100…
…01101000110000
3121010012101222020
431302101220300
5433202030443
634541111440
75505606120
oct1562215060
9533171866
10231283248
1110960a589
1265558580
1338bbb3c1
1422a06c80
1515488583
hexdc91a30

231283248 has 80 divisors (see below), whose sum is σ = 686789376. Its totient is φ = 65698560.

The previous prime is 231283243. The next prime is 231283259. The reversal of 231283248 is 842382132.

231283248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (231283243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58915 + ... + 62717.

Almost surely, 2231283248 is an apocalyptic number.

231283248 is a gapful number since it is divisible by the number (28) 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 231283248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343394688).

231283248 is an abundant number, since it is smaller than the sum of its proper divisors (455506128).

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

231283248 is a wasteful number, since it uses less digits than its factorization.

231283248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3996 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 231283248 is about 15207.9994739611. Note that the first 3 decimals coincide. The cubic root of 231283248 is about 613.8299281036.

The spelling of 231283248 in words is "two hundred thirty-one million, two hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 543 724 1086 1267 1448 2172 2534 2896 3801 3803 4344 5068 7602 7606 8688 10136 11409 15204 15212 20272 22818 26621 30408 30424 45636 53242 60816 60848 79863 91272 106484 159726 182544 212968 319452 425936 638904 688343 1277808 1376686 2065029 2753372 4130058 4818401 5506744 8260116 9636802 11013488 14455203 16520232 19273604 28910406 33040464 38547208 57820812 77094416 115641624 231283248