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22122133224020 = 22510110951551101
BaseRepresentation
bin1010000011110101101011…
…11001000111101001010100
32220022212002111111222100022
411001322311321013221110
510344422112101132040
6115014433454004312
74442162040553244
oct501726571075124
986285074458308
1022122133224020
117059a425337a5
1225935017a6698
13c461539838ab
14566a074abb24
152856aa2456b5
hex141eb5e47a54

22122133224020 has 24 divisors (see below), whose sum is σ = 46916444920968. Its totient is φ = 8761240880000.

The previous prime is 22122133224007. The next prime is 22122133224029. The reversal of 22122133224020 is 2042233122122.

It can be written as a sum of positive squares in 4 ways, for example, as 4597645100944 + 17524488123076 = 2144212^2 + 4186226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122133224029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5475773531 + ... + 5475777570.

It is an arithmetic number, because the mean of its divisors is an integer number (1954851871707).

Almost surely, 222122133224020 is an apocalyptic number.

22122133224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122133224020 is an abundant number, since it is smaller than the sum of its proper divisors (24794311696948).

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

22122133224020 is a wasteful number, since it uses less digits than its factorization.

22122133224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10951551211 (or 10951551209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22122133224020 its reverse (2042233122122), we get a palindrome (24164366346142).

The spelling of 22122133224020 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 10951551101 21903102202 43806204404 54757755505 109515511010 219031022020 1106106661201 2212213322402 4424426644804 5530533306005 11061066612010 22122133224020