Search a number
-
+
216822978162 = 23272156792
BaseRepresentation
bin1100100111101110101…
…0000001011001110010
3202201122202200112002200
43021323222001121302
512023023140300122
6243335044524030
721444034622400
oct3117352013162
9681582615080
10216822978162
1183a54a1173a
12360316b0616
13175a574211b
14a6cc480470
1559903305ac
hex327ba81672

216822978162 has 54 divisors (see below), whose sum is σ = 546517260783. Its totient is φ = 61945471224.

The previous prime is 216822978139. The next prime is 216822978181. The reversal of 216822978162 is 261879228612.

216822978162 is a `hidden beast` number, since 216 + 8 + 2 + 297 + 81 + 62 = 666.

216822978162 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., 108411489081 + 108411489081 = 329259^2 + 329259^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=329259.

It is a junction number, because it is equal to n+sod(n) for n = 216822978099 and 216822978108.

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 26 ways as a sum of consecutive naturals, for example, 13821039 + ... + 13836717.

Almost surely, 2216822978162 is an apocalyptic number.

216822978162 is an abundant number, since it is smaller than the sum of its proper divisors (329694282621).

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

216822978162 is an frugal number, since it uses more digits than its factorization.

216822978162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380 (or 15691 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 216822978162 in words is "two hundred sixteen billion, eight hundred twenty-two million, nine hundred seventy-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 15679 31358 47037 94074 109753 141111 219506 282222 329259 658518 768271 987777 1536542 1975554 2304813 4609626 6914439 13828878 245831041 491662082 737493123 1474986246 1720817287 2212479369 3441634574 4424958738 5162451861 10324903722 12045721009 15487355583 24091442018 30974711166 36137163027 72274326054 108411489081 216822978162