Search a number
-
+
220332111312 = 24338319516143
BaseRepresentation
bin1100110100110011010…
…0010011010111010000
3210001201022201221211010
43031030310103113100
512102220010030222
6245115201450520
721630015021315
oct3151464232720
9701638657733
10220332111312
1185495807385
1236850940a40
1317a14758881
14a942538d0c
155ae844380c
hex334cd135d0

220332111312 has 80 divisors (see below), whose sum is σ = 571062878208. Its totient is φ = 73202812800.

The previous prime is 220332111289. The next prime is 220332111331. The reversal of 220332111312 is 213111233022.

220332111312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2203321113122 (a number of 23 digits) contains 22 as substring.

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, 35864113 + ... + 35870255.

Almost surely, 2220332111312 is an apocalyptic number.

It is an amenable number.

220332111312 is an abundant number, since it is smaller than the sum of its proper divisors (350730766896).

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

220332111312 is a wasteful number, since it uses less digits than its factorization.

220332111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 220332111312 its reverse (213111233022), we get a palindrome (433443344334).

The spelling of 220332111312 in words is "two hundred twenty billion, three hundred thirty-two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 383 766 1149 1532 1951 2298 3064 3902 4596 5853 6128 6143 7804 9192 11706 12286 15608 18384 18429 23412 24572 31216 36858 46824 49144 73716 93648 98288 147432 294864 747233 1494466 2241699 2352769 2988932 4483398 4705538 5977864 7058307 8966796 9411076 11955728 11984993 14116614 17933592 18822152 23969986 28233228 35867184 35954979 37644304 47939972 56466456 71909958 95879944 112932912 143819916 191759888 287639832 575279664 4590252319 9180504638 13770756957 18361009276 27541513914 36722018552 55083027828 73444037104 110166055656 220332111312