Search a number
-
+
23154131208 = 23313113761863
BaseRepresentation
bin10101100100000110…
…000000000100001000
32012202122120201212010
4111210012000010020
5334404424144313
614345321215520
71446531603465
oct254406000410
965678521763
1023154131208
1199019a352a
1245a23315a0
13224cca6570
14119917066c
15907b084c3
hex564180108

23154131208 has 128 divisors (see below), whose sum is σ = 63045319680. Its totient is φ = 7043850240.

The previous prime is 23154131207. The next prime is 23154131213. The reversal of 23154131208 is 80213145132.

It is a super-2 number, since 2×231541312082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23154131207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26829385 + ... + 26830247.

It is an arithmetic number, because the mean of its divisors is an integer number (492541560).

Almost surely, 223154131208 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 23154131208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31522659840).

23154131208 is an abundant number, since it is smaller than the sum of its proper divisors (39891188472).

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

23154131208 is a wasteful number, since it uses less digits than its factorization.

23154131208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 23154131208 in words is "twenty-three billion, one hundred fifty-four million, one hundred thirty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 761 863 904 1356 1469 1522 1726 2283 2589 2712 2938 3044 3452 4407 4566 5178 5876 6088 6904 8814 9132 9893 10356 11219 11752 17628 18264 19786 20712 22438 29679 33657 35256 39572 44876 59358 67314 79144 85993 89752 97519 118716 134628 171986 195038 237432 257979 269256 292557 343972 390076 515958 585114 656743 687944 780152 1031916 1117909 1170228 1267747 1313486 1970229 2063832 2235818 2340456 2535494 2626972 3353727 3803241 3940458 4471636 5070988 5253944 6707454 7606482 7880916 8537659 8943272 10141976 13414908 15212964 15761832 17075318 25612977 26829816 30425928 34150636 51225954 68301272 74211959 102451908 148423918 204903816 222635877 296847836 445271754 593695672 890543508 964755467 1781087016 1929510934 2894266401 3859021868 5788532802 7718043736 11577065604 23154131208