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221002022220112 = 24785915263150503
BaseRepresentation
bin110010010000000000001011…
…000001110111000101010000
31001222111120211220200102012101
4302100000023001313011100
5212431344120142020422
62102010532153210144
764356604063564060
oct6220001301670520
91058446756612171
10221002022220112
116446648203a171
122095380a100954
13964152a7955a3
143c807aaac93a0
151a83b82e8cc27
hexc9000b077150

221002022220112 has 80 divisors (see below), whose sum is σ = 489966662983680. Its totient is φ = 94598063404416.

The previous prime is 221002022220073. The next prime is 221002022220113. The reversal of 221002022220112 is 211022220200122.

It is a super-3 number, since 3×2210020222201123 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221002022220112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002022220113) 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, 1468347453 + ... + 1468497955.

It is an arithmetic number, because the mean of its divisors is an integer number (6124583287296).

Almost surely, 2221002022220112 is an apocalyptic number.

It is an amenable number.

221002022220112 is an abundant number, since it is smaller than the sum of its proper divisors (268964640763568).

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

221002022220112 is a wasteful number, since it uses less digits than its factorization.

221002022220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166640 (or 166634 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221002022220112 its reverse (211022220200122), we get a palindrome (432024242420234).

The spelling of 221002022220112 in words is "two hundred twenty-one trillion, two billion, twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 859 1718 3436 6013 6872 12026 13744 15263 24052 30526 48104 61052 96208 106841 122104 150503 213682 244208 301006 427364 602012 854728 1053521 1204024 1709456 2107042 2408048 4214084 8428168 13110917 16856336 26221834 52443668 91776419 104887336 129282077 183552838 209774672 258564154 367105676 517128308 734211352 904974539 1034256616 1468422704 1809949078 2068513232 2297127289 3619898156 4594254578 7239796312 9188509156 14479592624 16079891023 18377018312 32159782046 36754036624 64319564092 128639128184 257278256368 1973232341251 3946464682502 7892929365004 13812626388757 15785858730008 27625252777514 31571717460016 55250505555028 110501011110056 221002022220112