Search a number
-
+
2112200002220 = 2257113205142793
BaseRepresentation
bin11110101111001000111…
…011100100101010101100
321110220221211221112000212
4132233020323210222230
5234101241200032340
64254155320241552
7305413166534120
oct36571073445254
97426854845025
102112200002220
11744862922150
122a14376102b8
13124244793929
1474333d11580
1539e232e2a65
hex1ebc8ee4aac

2112200002220 has 96 divisors (see below), whose sum is σ = 5530425417216. Its totient is φ = 658312128000.

The previous prime is 2112200002181. The next prime is 2112200002309. The reversal of 2112200002220 is 222000022112.

It is a super-2 number, since 2×21122000022202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2112200002195 and 2112200002204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49337144 + ... + 49379936.

It is an arithmetic number, because the mean of its divisors is an integer number (57608598096).

Almost surely, 22112200002220 is an apocalyptic number.

2112200002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112200002220 is an abundant number, since it is smaller than the sum of its proper divisors (3418225414996).

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

2112200002220 is a wasteful number, since it uses less digits than its factorization.

2112200002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74871 (or 74869 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2112200002220 its reverse (222000022112), we get a palindrome (2334200024332).

The spelling of 2112200002220 in words is "two trillion, one hundred twelve billion, two hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 32051 42793 64102 85586 128204 160255 171172 213965 224357 299551 320510 352561 427930 448714 470723 599102 641020 705122 855860 897428 941446 1121785 1198204 1410244 1497755 1762805 1882892 2243570 2353615 2467927 2995510 3295061 3525610 4487140 4707230 4935854 5991020 6590122 7051220 9414460 9871708 12339635 13180244 16475305 24679270 32950610 49358540 65901220 1371558443 2743116886 5486233772 6857792215 9600909101 13715584430 15087142873 19201818202 27431168860 30174285746 38403636404 48004545505 60348571492 75435714365 96009091010 105610000111 150871428730 192018182020 211220000222 301742857460 422440000444 528050000555 1056100001110 2112200002220