Search a number
-
+
232042033332 = 223231764131721
BaseRepresentation
bin1101100000011011001…
…0000111000010110100
3211011221102000121222200
43120012302013002310
512300210230031312
6254333150024500
722523134511544
oct3300662070264
9734842017880
10232042033332
118a45475108a
1238b7a4a8130
1318b5c787805
14b333807324
1560814b50dc
hex3606c870b4

232042033332 has 72 divisors (see below), whose sum is σ = 589337533512. Its totient is φ = 76980633600.

The previous prime is 232042033331. The next prime is 232042033361. The reversal of 232042033332 is 233330240232.

232042033332 is a `hidden beast` number, since 2 + 320 + 4 + 2 + 0 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453945636 + 231588087696 = 21306^2 + 481236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232042033296 and 232042033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232042033331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7299232 + ... + 7330952.

It is an arithmetic number, because the mean of its divisors is an integer number (8185243521).

Almost surely, 2232042033332 is an apocalyptic number.

It is an amenable number.

232042033332 is an abundant number, since it is smaller than the sum of its proper divisors (357295500180).

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

232042033332 is a wasteful number, since it uses less digits than its factorization.

232042033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32689 (or 32684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 232042033332 its reverse (233330240232), we get a palindrome (465372273564).

The spelling of 232042033332 in words is "two hundred thirty-two billion, forty-two million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 641 951 1268 1282 1902 1923 2564 2853 3804 3846 5706 5769 7692 11412 11538 23076 31721 63442 95163 126884 190326 203197 285489 380652 406394 570978 609591 812788 1141956 1219182 1828773 2438364 3657546 7315092 10055557 20111114 20333161 30166671 40222228 40666322 60333342 60999483 81332644 90500013 120666684 121998966 181000026 182998449 243997932 362000052 365996898 731993796 6445612037 12891224074 19336836111 25782448148 38673672222 58010508333 77347344444 116021016666 232042033332