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222021111102112 = 25711336132427727
BaseRepresentation
bin110010011110110101010001…
…011101011011101010100000
31002010010000021222012112000001
4302132311101131123222200
5213100043213420231422
62104111031304505344
764523332051264240
oct6236652135335240
91063100258175001
10222021111102112
11648196961586a3
1220a99218a7b254
1396b666874b97a
143cb7c44405b20
151aa042a499227
hexc9ed5175baa0

222021111102112 has 96 divisors (see below), whose sum is σ = 504107969444352. Its totient is φ = 94283710746624.

The previous prime is 222021111102083. The next prime is 222021111102181. The reversal of 222021111102112 is 211201111120222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 222021111102112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90238393 + ... + 92666119.

It is an arithmetic number, because the mean of its divisors is an integer number (5251124681712).

Almost surely, 2222021111102112 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 222021111102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252053984722176).

222021111102112 is an abundant number, since it is smaller than the sum of its proper divisors (282086858342240).

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

222021111102112 is a wasteful number, since it uses less digits than its factorization.

222021111102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431470 (or 2431462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 222021111102112 its reverse (211201111120222), we get a palindrome (433222222222334).

The spelling of 222021111102112 in words is "two hundred twenty-two trillion, twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 791 904 1582 1808 3164 3613 3616 6328 7226 12656 14452 25291 25312 28904 50582 57808 101164 115616 202328 404656 408269 809312 816538 1633076 2427727 2857883 3266152 4855454 5715766 6532304 9710908 11431532 13064608 16994089 19421816 22863064 33988178 38843632 45726128 67976356 77687264 91452256 135952712 271905424 274333151 543810848 548666302 1097332604 1920332057 2194665208 3840664114 4389330416 7681328228 8771377651 8778660832 15362656456 17542755302 30725312912 35085510604 61399643557 61450625824 70171021208 122799287114 140342042416 245598574228 280684084832 491197148456 982394296912 991165674563 1964788593824 1982331349126 3964662698252 6938159721941 7929325396504 13876319443882 15858650793008 27752638887764 31717301586016 55505277775528 111010555551056 222021111102112