Search a number
-
+
232313313232 = 247111314505077
BaseRepresentation
bin1101100001011011110…
…0111101011111010000
3211012122022111002001101
43120112330331133100
512301234202010412
6254420120314144
722532640403210
oct3302674753720
9735568432041
10232313313232
118a583899750
1239035312954
1318ba3a3b070
14b35b862240
15609a1ee457
hex3616f3d7d0

232313313232 has 80 divisors (see below), whose sum is σ = 604339569792. Its totient is φ = 83549237760.

The previous prime is 232313313181. The next prime is 232313313241.

232313313232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232313313232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7236523 + ... + 7268554.

Almost surely, 2232313313232 is an apocalyptic number.

232313313232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232313313232 is an abundant number, since it is smaller than the sum of its proper divisors (372026256560).

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

232313313232 is a wasteful number, since it uses less digits than its factorization.

232313313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14505116 (or 14505110 counting only the distinct ones).

The product of its digits is 11664, while the sum is 28.

It can be divided in two parts, 232313 and 313232, that added together give a palindrome (545545).

The spelling of 232313313232 in words is "two hundred thirty-two billion, three hundred thirteen million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 14505077 29010154 58020308 101535539 116040616 159555847 188566001 203071078 232081232 319111694 377132002 406142156 638223388 754264004 812284312 1116890929 1276446776 1319962007 1508528008 1624568624 2074226011 2233781858 2552893552 2639924014 3017056016 4148452022 4467563716 5279848028 8296904044 8935127432 10559696056 14519582077 16593808088 17870254864 21119392112 29039164154 33187616176 58078328308 116156656616 232313313232