Search a number
-
+
2233322213130 = 2325171459687721
BaseRepresentation
bin100000011111111100011…
…000001000111100001010
321220111121001202100111100
4200133330120020330022
5243042320441310010
64425550221442230
7320231543410341
oct40377430107412
97814531670440
102233322213130
117911681919a8
123009bb110376
131327a8307508
147a1442d8b58
153d161a6a2c0
hex207fc608f0a

2233322213130 has 48 divisors (see below), whose sum is σ = 6148204685064. Its totient is φ = 560520084480.

The previous prime is 2233322213033. The next prime is 2233322213203. The reversal of 2233322213130 is 313122233322.

2233322213130 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 322 + 21 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2198912334129 + 34409879001 = 1482873^2 + 185499^2 .

It is a super-3 number, since 3×22333222131303 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2233322213094 and 2233322213103.

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 23 ways as a sum of consecutive naturals, for example, 729842331 + ... + 729845390.

Almost surely, 22233322213130 is an apocalyptic number.

2233322213130 is an abundant number, since it is smaller than the sum of its proper divisors (3914882471934).

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

2233322213130 is a wasteful number, since it uses less digits than its factorization.

2233322213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459687751 (or 1459687748 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2233322213130 its reverse (313122233322), we get a palindrome (2546444446452).

The spelling of 2233322213130 in words is "two trillion, two hundred thirty-three billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1459687721 2919375442 4379063163 7298438605 8758126326 13137189489 14596877210 21895315815 24814691257 26274378978 43790631630 49629382514 65685947445 74444073771 124073456285 131371894890 148888147542 223332221313 248146912570 372220368855 446664442626 744440737710 1116661106565 2233322213130