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2112200222200 = 2352431571564361
BaseRepresentation
bin11110101111001000111…
…100011010010111111000
321110220221212100200210021
4132233020330122113320
5234101241224102300
64254155325100224
7305413201441345
oct36571074322770
97426855320707
102112200222200
11744862a62452
122a14376b7674
1312424483cab3
1474333d6b7cc
1539e23337d1a
hex1ebc8f1a5f8

2112200222200 has 96 divisors (see below), whose sum is σ = 5057081750160. Its totient is φ = 819974937600.

The previous prime is 2112200222189. The next prime is 2112200222201. The reversal of 2112200222200 is 22220022112.

It is a super-2 number, since 2×21122002222002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112200222201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568020 + ... + 2132380.

Almost surely, 22112200222200 is an apocalyptic number.

2112200222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112200222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528540875080).

2112200222200 is an abundant number, since it is smaller than the sum of its proper divisors (2944881527960).

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

2112200222200 is a wasteful number, since it uses less digits than its factorization.

2112200222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564577 (or 1564568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2112200222200 its reverse (22220022112), we get a palindrome (2134420244312).

The spelling of 2112200222200 in words is "two trillion, one hundred twelve billion, two hundred million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 157 172 200 215 314 344 430 628 785 860 1075 1256 1570 1720 2150 3140 3925 4300 6280 6751 7850 8600 13502 15700 27004 31400 33755 54008 67510 135020 168775 270040 337550 675100 1350200 1564361 3128722 6257444 7821805 12514888 15643610 31287220 39109025 62574440 67267523 78218050 134535046 156436100 245604677 269070092 312872200 336337615 491209354 538140184 672675230 982418708 1228023385 1345350460 1681688075 1964837416 2456046770 2690700920 3363376150 4912093540 6140116925 6726752300 9824187080 10561001111 12280233850 13453504600 21122002222 24560467700 42244004444 49120935400 52805005555 84488008888 105610011110 211220022220 264025027775 422440044440 528050055550 1056100111100 2112200222200