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230200103232 = 26321123302917
BaseRepresentation
bin1101011001100011111…
…1101101000101000000
3211000012001002212220100
43112120333231011000
512232422211300412
6253430311042400
722426400410131
oct3263077550500
9730161085810
10230200103232
1189699a58800
1238745670400
1318927ca6548
14b1dad37c88
155ec4927edc
hex3598fed140

230200103232 has 126 divisors (see below), whose sum is σ = 725264643194. Its totient is φ = 69757585920.

The previous prime is 230200103219. The next prime is 230200103251. The reversal of 230200103232 is 232301002032.

It is a happy number.

230200103232 is a `hidden beast` number, since 230 + 200 + 1 + 0 + 3 + 232 = 666.

230200103232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 229341378816 + 858724416 = 478896^2 + 29304^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1581763 + ... + 1721154.

Almost surely, 2230200103232 is an apocalyptic number.

230200103232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230200103232 is an abundant number, since it is smaller than the sum of its proper divisors (495064539962).

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

230200103232 is a wasteful number, since it uses less digits than its factorization.

230200103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302957 (or 3302933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230200103232 its reverse (232301002032), we get a palindrome (462501105264).

The spelling of 230200103232 in words is "two hundred thirty billion, two hundred million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 3302917 6605834 9908751 13211668 19817502 26423336 29726253 36332087 39635004 52846672 59452506 72664174 79270008 105693344 108996261 118905012 145328348 158540016 211386688 217992522 237810024 290656696 317080032 326988783 399652957 435985044 475620048 581313392 634160064 653977566 799305914 871970088 951240096 1162626784 1198958871 1307955132 1598611828 1743940176 1902480192 2325253568 2397917742 2615910264 3197223656 3487880352 3596876613 4795835484 5231820528 6394447312 6975760704 7193753226 9591670968 10463641056 12788894624 14387506452 19183341936 20927282112 25577789248 28775012904 38366683872 57550025808 76733367744 115100051616 230200103232