Search a number
-
+
2174839968 = 253731104399
BaseRepresentation
bin1000000110100001…
…0110110010100000
312121120100022120110
42001220112302200
513423224334333
6555450211320
7104615556210
oct20150266240
95546308513
102174839968
11a16705504
12508423b40
13288762672
14168bac240
15cadec063
hex81a16ca0

2174839968 has 96 divisors (see below), whose sum is σ = 6735052800. Its totient is φ = 601332480.

The previous prime is 2174839963. The next prime is 2174839981. The reversal of 2174839968 is 8699384712.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2174839963) by changing a digit.

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, 31368 + ... + 73031.

It is an arithmetic number, because the mean of its divisors is an integer number (70156800).

Almost surely, 22174839968 is an apocalyptic number.

2174839968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2174839968 is an abundant number, since it is smaller than the sum of its proper divisors (4560212832).

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

2174839968 is a wasteful number, since it uses less digits than its factorization.

2174839968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104450 (or 104442 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 2174839968 is about 46635.1795107513. The cubic root of 2174839968 is about 1295.6144067019.

It can be divided in two parts, 21748 and 39968, that added together give a palindrome (61716).

The spelling of 2174839968 in words is "two billion, one hundred seventy-four million, eight hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 104399 208798 313197 417596 626394 730793 835192 1252788 1461586 1670384 2192379 2505576 2923172 3236369 3340768 4384758 5011152 5846344 6472738 8769516 9709107 10022304 11692688 12945476 17539032 19418214 22654583 23385376 25890952 35078064 38836428 45309166 51781904 67963749 70156128 77672856 90618332 103563808 135927498 155345712 181236664 271854996 310691424 362473328 543709992 724946656 1087419984 2174839968