Search a number
-
+
2168215104 = 263117511367
BaseRepresentation
bin1000000100111100…
…0101011001000000
312121002212201222010
42001033011121000
513420030340404
6555052212520
7104505344556
oct20117053100
95532781863
102168215104
11a129a0110
1250616a140
13287283123
14167d65bd6
15ca53e189
hex813c5640

2168215104 has 112 divisors (see below), whose sum is σ = 6271174656. Its totient is φ = 655680000.

The previous prime is 2168215097. The next prime is 2168215117. The reversal of 2168215104 is 4015128612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585429 + ... + 1586795.

Almost surely, 22168215104 is an apocalyptic number.

2168215104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135587328).

2168215104 is an abundant number, since it is smaller than the sum of its proper divisors (4102959552).

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

2168215104 is a wasteful number, since it uses less digits than its factorization.

2168215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2168215104 is about 46564.0967269848. The cubic root of 2168215104 is about 1294.2975283074.

The spelling of 2168215104 in words is "two billion, one hundred sixty-eight million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 751 1056 1367 1502 2112 2253 2734 3004 4101 4506 5468 6008 8202 8261 9012 10936 12016 15037 16404 16522 18024 21872 24032 24783 30074 32808 33044 36048 43744 45111 48064 49566 60148 65616 66088 72096 87488 90222 99132 120296 131232 132176 144192 180444 198264 240592 262464 264352 360888 396528 481184 528704 721776 793056 962368 1026617 1443552 1586112 2053234 2887104 3079851 4106468 6159702 8212936 11292787 12319404 16425872 22585574 24638808 32851744 33878361 45171148 49277616 65703488 67756722 90342296 98555232 135513444 180684592 197110464 271026888 361369184 542053776 722738368 1084107552 2168215104