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222221212000112 = 241331133392583671
BaseRepresentation
bin110010100001101111101000…
…011001110001111101110000
31002010211010210100100100112102
4302201233220121301331300
5213111333020233000422
62104343003201315532
764543644535663433
oct6241575031617560
91063733710310472
10222221212000112
1164896539973a76
1220b0bb62335ba8
1396cc4a79372b0
143cc37c7a6d81a
151aa573c6ee192
hexca1be8671f70

222221212000112 has 80 divisors (see below), whose sum is σ = 478666370058240. Its totient is φ = 99247652524800.

The previous prime is 222221212000111. The next prime is 222221212000127. The reversal of 222221212000112 is 211000212122222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221212000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84718037 + ... + 87301707.

It is an arithmetic number, because the mean of its divisors is an integer number (5983329625728).

Almost surely, 2222221212000112 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 222221212000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239333185029120).

222221212000112 is an abundant number, since it is smaller than the sum of its proper divisors (256445158058128).

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

222221212000112 is a wasteful number, since it uses less digits than its factorization.

222221212000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597062 (or 2597056 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222221212000112 its reverse (211000212122222), we get a palindrome (433221424122334).

The spelling of 222221212000112 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 13339 26678 53356 106712 173407 213424 346814 413509 693628 827018 1387256 1654036 2583671 2774512 3308072 5167342 5375617 6616144 10334684 10751234 20669368 21502468 33587723 41338736 43004936 67175446 80093801 86009872 134350892 160187602 268701784 320375204 537403568 640750408 1041219413 1281500816 2082438826 4164877652 8329755304 16659510608 34463587469 68927174938 137854349876 275708699752 448026637097 551417399504 896053274194 1068371211539 1792106548388 2136742423078 3584213096776 4273484846156 7168426193552 8546969692312 13888825750007 17093939384624 27777651500014 55555303000028 111110606000056 222221212000112