Search a number
-
+
20002240314 = 2327222678277
BaseRepresentation
bin10010101000001110…
…011111011100111010
31220121222202002101100
4102220032133130322
5311431033142224
613104445232230
71305450144300
oct225016373472
956558662340
1020002240314
11853481a221
123a62862676
131b69cb0574
14d7a70a270
157c105eac9
hex4a839f73a

20002240314 has 36 divisors (see below), whose sum is σ = 50413811994. Its totient is φ = 5714925552.

The previous prime is 20002240289. The next prime is 20002240337. The reversal of 20002240314 is 41304220002.

It can be written as a sum of positive squares in only one way, i.e., 11367184689 + 8635055625 = 106617^2 + 92925^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 17 ways as a sum of consecutive naturals, for example, 11338257 + ... + 11340020.

Almost surely, 220002240314 is an apocalyptic number.

20002240314 is an abundant number, since it is smaller than the sum of its proper divisors (30411571680).

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

20002240314 is a wasteful number, since it uses less digits than its factorization.

20002240314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22678299 (or 22678289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20002240314 its reverse (41304220002), we get a palindrome (61306460316).

The spelling of 20002240314 in words is "twenty billion, two million, two hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 22678277 45356554 68034831 136069662 158747939 204104493 317495878 408208986 476243817 952487634 1111235573 1428731451 2222471146 2857462902 3333706719 6667413438 10001120157 20002240314