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2200012122220 = 22511193491105527
BaseRepresentation
bin100000000000111010111…
…100001110100001101100
321210022121121221102000121
4200000322330032201230
5242021111100402340
64402401022534324
7314642231330563
oct40007274164154
97708547842017
102200012122220
11779024541650
122b64637373a4
1312c5ca239053
14786a4408bda
153c36254894a
hex2003af0e86c

2200012122220 has 96 divisors (see below), whose sum is σ = 5076508018176. Its totient is φ = 794230886400.

The previous prime is 2200012122211. The next prime is 2200012122221. The reversal of 2200012122220 is 222212100022.

It is a junction number, because it is equal to n+sod(n) for n = 2200012122194 and 2200012122203.

It is not an unprimeable number, because it can be changed into a prime (2200012122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20795097 + ... + 20900623.

It is an arithmetic number, because the mean of its divisors is an integer number (52880291856).

Almost surely, 22200012122220 is an apocalyptic number.

2200012122220 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 2200012122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538254009088).

2200012122220 is an abundant number, since it is smaller than the sum of its proper divisors (2876495895956).

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

2200012122220 is a wasteful number, since it uses less digits than its factorization.

2200012122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106231 (or 106229 counting only the distinct ones).

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

Adding to 2200012122220 its reverse (222212100022), we get a palindrome (2422224222242).

It can be divided in two parts, 2200012 and 122220, that added together give a palindrome (2322232).

The spelling of 2200012122220 in words is "two trillion, two hundred billion, twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 491 772 965 982 1930 1964 2123 2455 3860 4246 4910 5401 8492 9820 10615 10802 21230 21604 27005 42460 54010 94763 105527 108020 189526 211054 379052 422108 473815 527635 947630 1042393 1055270 1160797 1895260 2084786 2110540 2321594 4169572 4643188 5211965 5803985 10423930 11607970 20366711 20847860 23215940 40733422 51813757 81466844 101833555 103627514 203667110 207255028 224033821 259068785 407334220 448067642 518137570 569951327 896135284 1036275140 1120169105 1139902654 2240338210 2279805308 2849756635 4480676420 5699513270 10000055101 11399026540 20000110202 40000220404 50000275505 100000551010 110000606111 200001102020 220001212222 440002424444 550003030555 1100006061110 2200012122220