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2130312224 = 251947127587
BaseRepresentation
bin111111011111001…
…1111110000100000
312111110120001222202
41332332133300200
513330324442344
6551215552332
7103535232545
oct17676376040
95443501882
102130312224
119a3562117
124b552b6a8
1327c471ca1
14162cdabcc
15c705394e
hex7ef9fc20

2130312224 has 96 divisors (see below), whose sum is σ = 4551966720. Its totient is φ = 978179328.

The previous prime is 2130312161. The next prime is 2130312227. The reversal of 2130312224 is 4222130312.

It is a junction number, because it is equal to n+sod(n) for n = 2130312196 and 2130312205.

It is not an unprimeable number, because it can be changed into a prime (2130312227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3628859 + ... + 3629445.

It is an arithmetic number, because the mean of its divisors is an integer number (47416320).

Almost surely, 22130312224 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 2130312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275983360).

2130312224 is an abundant number, since it is smaller than the sum of its proper divisors (2421654496).

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

2130312224 is a wasteful number, since it uses less digits than its factorization.

2130312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2130312224 is about 46155.3054805187. The cubic root of 2130312224 is about 1286.7112155223.

Adding to 2130312224 its reverse (4222130312), we get a palindrome (6352442536).

The spelling of 2130312224 in words is "two billion, one hundred thirty million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 127 152 188 254 304 376 508 587 608 752 893 1016 1174 1504 1786 2032 2348 2413 3572 4064 4696 4826 5969 7144 9392 9652 11153 11938 14288 18784 19304 22306 23876 27589 28576 38608 44612 47752 55178 74549 77216 89224 95504 110356 113411 149098 178448 191008 220712 226822 298196 356896 441424 453644 524191 596392 882848 907288 1048382 1192784 1416431 1814576 2096764 2385568 2832862 3503803 3629152 4193528 5665724 7007606 8387056 11331448 14015212 16774112 22662896 28030424 45325792 56060848 66572257 112121696 133144514 266289028 532578056 1065156112 2130312224