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22122210110020 = 22517292243631857
BaseRepresentation
bin1010000011110101110100…
…11110011010101001000100
32220022212021212012012002221
411001322322132122221010
510344422241242010040
6115014445241542124
74442163663226546
oct501727236325104
986285255165087
1022122210110020
117059a81978349
1225935234a4944
13c46166893777
14566a137a3696
152856b1d8174a
hex141eba79aa44

22122210110020 has 48 divisors (see below), whose sum is σ = 50885570539440. Its totient is φ = 8041176571904.

The previous prime is 22122210109939. The next prime is 22122210110029. The reversal of 22122210110020 is 2001101222122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2024490739716 + 20097719370304 = 1422846^2 + 4483048^2 .

It is a super-2 number, since 2×221222101100202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22122210109976 and 22122210110003.

It is not an unprimeable number, because it can be changed into a prime (22122210110029) 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, 1121806069 + ... + 1121825788.

It is an arithmetic number, because the mean of its divisors is an integer number (1060116052905).

Almost surely, 222122210110020 is an apocalyptic number.

22122210110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122210110020 is an abundant number, since it is smaller than the sum of its proper divisors (28763360429420).

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

22122210110020 is a wasteful number, since it uses less digits than its factorization.

22122210110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243631912 (or 2243631910 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122210110020 its reverse (2001101222122), we get a palindrome (24123311332142).

The spelling of 22122210110020 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 2243631857 4487263714 8974527428 11218159285 22436318570 38141741569 44872637140 65065323853 76283483138 130130647706 152566966276 190708707845 260261295412 325326619265 381417415690 650653238530 762834831380 1106110505501 1301306477060 2212221011002 4424442022004 5530552527505 11061105055010 22122210110020