Search a number
-
+
22012120212 = 223291131314273
BaseRepresentation
bin10100100000000001…
…100100110010010100
32002211001200120021120
4110200001210302110
5330040100321322
614040124043540
71406323635405
oct244001446224
962731616246
1022012120212
1193762a4795
1243239935b0
1320ca506904
1410cb6179ac
1588c724a5c
hex520064c94

22012120212 has 96 divisors (see below), whose sum is σ = 54024727680. Its totient is φ = 6966435840.

The previous prime is 22012120133. The next prime is 22012120223. The reversal of 22012120212 is 21202121022.

It is a junction number, because it is equal to n+sod(n) for n = 22012120191 and 22012120200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5149308 + ... + 5153580.

It is an arithmetic number, because the mean of its divisors is an integer number (562757580).

Almost surely, 222012120212 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 22012120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012363840).

22012120212 is an abundant number, since it is smaller than the sum of its proper divisors (32012607468).

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

22012120212 is a wasteful number, since it uses less digits than its factorization.

22012120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22012120212 its reverse (21202121022), we get a palindrome (43214241234).

The spelling of 22012120212 in words is "twenty-two billion, twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 113 116 131 174 226 262 339 348 393 452 524 678 786 1356 1572 3277 3799 4273 6554 7598 8546 9831 11397 12819 13108 14803 15196 17092 19662 22794 25638 29606 39324 44409 45588 51276 59212 88818 123917 177636 247834 371751 429287 482849 495668 559763 743502 858574 965698 1119526 1287861 1448547 1487004 1679289 1717148 1931396 2239052 2575722 2897094 3358578 5151444 5794188 6717156 14002621 16233127 28005242 32466254 42007863 48699381 56010484 63253219 64932508 84015726 97398762 126506438 168031452 189759657 194797524 253012876 379519314 759038628 1834343351 3668686702 5503030053 7337373404 11006060106 22012120212