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22082121 = 3211321713
BaseRepresentation
bin101010000111…
…1001001001001
31112112212222100
41110033021021
521123111441
62105144013
7355460235
oct124171111
945485870
1022082121
1111512696
12748b009
134762059
142d0b5c5
151e12cb6
hex150f249

22082121 has 12 divisors (see below), whose sum is σ = 32180148. Its totient is φ = 14590464.

The previous prime is 22082119. The next prime is 22082131. The reversal of 22082121 is 12128022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2368521 + 19713600 = 1539^2 + 4440^2 .

It is not a de Polignac number, because 22082121 - 21 = 22082119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22082094 and 22082103.

It is not an unprimeable number, because it can be changed into a prime (22082101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9840 + ... + 11873.

It is an arithmetic number, because the mean of its divisors is an integer number (2681679).

Almost surely, 222082121 is an apocalyptic number.

It is an amenable number.

22082121 is a deficient number, since it is larger than the sum of its proper divisors (10098027).

22082121 is a wasteful number, since it uses less digits than its factorization.

22082121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21832 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22082121 is about 4699.1617337564. The cubic root of 22082121 is about 280.5521460241.

The spelling of 22082121 in words is "twenty-two million, eighty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 113 339 1017 21713 65139 195417 2453569 7360707 22082121