Search a number
-
+
230869782 = 2321113257349
BaseRepresentation
bin11011100001011…
…00101100010110
3121002102101210200
431300230230112
5433100313112
634524201330
75502234513
oct1560545426
9532371720
10230869782
11109357980
1265399246
1338aa5150
142293a30a
1515405cdc
hexdc2cb16

230869782 has 96 divisors (see below), whose sum is σ = 591645600. Its totient is φ = 64143360.

The previous prime is 230869763. The next prime is 230869799. The reversal of 230869782 is 287968032.

230869782 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 47 ways as a sum of consecutive naturals, for example, 661344 + ... + 661692.

It is an arithmetic number, because the mean of its divisors is an integer number (6162975).

Almost surely, 2230869782 is an apocalyptic number.

230869782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230869782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295822800).

230869782 is an abundant number, since it is smaller than the sum of its proper divisors (360775818).

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

230869782 is a wasteful number, since it uses less digits than its factorization.

230869782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 230869782 is about 15194.3996919918. The cubic root of 230869782 is about 613.4639278333.

The spelling of 230869782 in words is "two hundred thirty million, eight hundred sixty-nine thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 257 286 349 429 514 698 771 858 1047 1287 1542 2094 2313 2574 2827 3141 3341 3839 4537 4626 5654 6282 6682 7678 8481 9074 10023 11517 13611 16962 20046 23034 25443 27222 30069 34551 36751 40833 49907 50886 60138 69102 73502 81666 89693 99814 110253 149721 179386 220506 269079 299442 330759 449163 538158 661518 807237 898326 986623 1166009 1614474 1973246 2332018 2959869 3498027 5919738 6996054 8879607 10494081 12826099 17759214 20988162 25652198 38478297 76956594 115434891 230869782