Search a number
-
+
230307588 = 2232719103467
BaseRepresentation
bin11011011101000…
…11011100000100
3121001100211121200
431232203130010
5432424320323
634504142500
75464403460
oct1556433404
9531324550
10230307588
11109003555
1265167a30
13389392a4
14228314a0
1515344443
hexdba3704

230307588 has 144 divisors (see below), whose sum is σ = 708664320. Its totient is φ = 61601472.

The previous prime is 230307557. The next prime is 230307601. The reversal of 230307588 is 885703032.

230307588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492931 + ... + 493397.

It is an arithmetic number, because the mean of its divisors is an integer number (4921280).

Almost surely, 2230307588 is an apocalyptic number.

230307588 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 230307588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354332160).

230307588 is an abundant number, since it is smaller than the sum of its proper divisors (478356732).

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

230307588 is a wasteful number, since it uses less digits than its factorization.

230307588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 230307588 is about 15175.8883759732. Note that the first 3 decimals coincide. The cubic root of 230307588 is about 612.9655717744.

The spelling of 230307588 in words is "two hundred thirty million, three hundred seven thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 103 114 126 133 171 206 228 252 266 309 342 399 412 467 532 618 684 721 798 927 934 1197 1236 1401 1442 1596 1854 1868 1957 2163 2394 2802 2884 3269 3708 3914 4203 4326 4788 5604 5871 6489 6538 7828 8406 8652 8873 9807 11742 12978 13076 13699 16812 17613 17746 19614 23484 25956 26619 27398 29421 35226 35492 39228 41097 48101 53238 54796 58842 62111 70452 79857 82194 96202 106476 117684 123291 124222 144303 159714 164388 186333 192404 246582 248444 288606 319428 336707 372666 432909 493164 558999 577212 673414 745332 865818 913919 1010121 1117998 1346828 1731636 1827838 2020242 2235996 2741757 3030363 3655676 4040484 5483514 6060726 6397433 8225271 10967028 12121452 12794866 16450542 19192299 25589732 32901084 38384598 57576897 76769196 115153794 230307588