Search a number
-
+
23322330000032 = 257222964951681
BaseRepresentation
bin1010100110110001001110…
…01100011110101010100000
310001120121000021111100021012
411103120213030132222200
511024103112440000112
6121334044104120052
74624661036045300
oct523304714365240
9101517007440235
1023322330000032
117481a43300598
122748035166028
131002394c672bb
145a8b41bb9600
152a6a02350022
hex15362731eaa0

23322330000032 has 72 divisors (see below), whose sum is σ = 53645542714260. Its totient is φ = 9951636602880.

The previous prime is 23322329999999. The next prime is 23322330000043. The reversal of 23322330000032 is 23000003322332.

It can be written as a sum of positive squares in 2 ways, for example, as 23217325486096 + 105004513936 = 4818436^2 + 324044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23322329999962 and 23322330000007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32116769 + ... + 32834912.

Almost surely, 223322330000032 is an apocalyptic number.

It is an amenable number.

23322330000032 is an abundant number, since it is smaller than the sum of its proper divisors (30323212714228).

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

23322330000032 is a wasteful number, since it uses less digits than its factorization.

23322330000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64951934 (or 64951919 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 23322330000032 its reverse (23000003322332), we get a palindrome (46322333322364).

The spelling of 23322330000032 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred thirty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 229 392 458 784 916 1568 1603 1832 3206 3664 6412 7328 11221 12824 22442 25648 44884 51296 89768 179536 359072 64951681 129903362 259806724 454661767 519613448 909323534 1039226896 1818647068 2078453792 3182632369 3637294136 6365264738 7274588272 12730529476 14549176544 14873934949 25461058952 29747869898 50922117904 59495739796 101844235808 104117544643 118991479592 208235089286 237982959184 416470178572 475965918368 728822812501 832940357144 1457645625002 1665880714288 2915291250004 3331761428576 5830582500008 11661165000016 23322330000032