Search a number
-
+
2320012032 = 283131713669
BaseRepresentation
bin1000101001001000…
…1001001100000000
312222200111211012120
42022102021030000
514222410341112
61022113524240
7111330530322
oct21222111400
95880454176
102320012032
11a9064a418
12548b73680
132ac860bb0
1418019b612
15d8a25e8c
hex8a489300

2320012032 has 144 divisors (see below), whose sum is σ = 7041252960. Its totient is φ = 671809536.

The previous prime is 2320012031. The next prime is 2320012061. The reversal of 2320012032 is 2302100232.

It is not an unprimeable number, because it can be changed into a prime (2320012031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162894 + ... + 176562.

It is an arithmetic number, because the mean of its divisors is an integer number (48897590).

Almost surely, 22320012032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520626480).

2320012032 is an abundant number, since it is smaller than the sum of its proper divisors (4721240928).

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

2320012032 is a wasteful number, since it uses less digits than its factorization.

2320012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2320012032 is about 48166.5032154089. The cubic root of 2320012032 is about 1323.8234781382.

Adding to 2320012032 its reverse (2302100232), we get a palindrome (4622112264).

The spelling of 2320012032 in words is "two billion, three hundred twenty million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 7072 9984 10608 13056 13669 14144 21216 27338 28288 41007 42432 54676 56576 82014 84864 109352 164028 169728 177697 218704 232373 328056 355394 437408 464746 533091 656112 697119 710788 874816 929492 1066182 1312224 1394238 1421576 1749632 1858984 2132364 2624448 2788476 2843152 3020849 3499264 3717968 4264728 5248896 5576952 5686304 6041698 7435936 8529456 9062547 10497792 11153904 11372608 12083396 14871872 17058912 18125094 22307808 22745216 24166792 29743744 34117824 36250188 44615616 45490432 48333584 59487488 68235648 72500376 89231232 96667168 136471296 145000752 178462464 193334336 290001504 386668672 580003008 773337344 1160006016 2320012032