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22422112133 = 733138091213
BaseRepresentation
bin10100111000011101…
…100100011110000101
32010212122011022110112
4110320131210132011
5331410030042013
614144531402405
71422432544211
oct247035443605
963778138415
1022422112133
119566774793
124419153405
132164436195
141129c5d941
158b370dba8
hex538764785

22422112133 has 16 divisors (see below), whose sum is σ = 22848888240. Its totient is φ = 21998905344.

The previous prime is 22422112121. The next prime is 22422112151. The reversal of 22422112133 is 33121122422.

It can be written as a sum of positive squares in 8 ways, for example, as 3301306849 + 19120805284 = 57457^2 + 138278^2 .

It is a cyclic number.

It is not a de Polignac number, because 22422112133 - 226 = 22355003269 is a prime.

It is a super-2 number, since 2×224221121332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22422112099 and 22422112108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422114133) 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 15 ways as a sum of consecutive naturals, for example, 18484235 + ... + 18485447.

It is an arithmetic number, because the mean of its divisors is an integer number (1428055515).

Almost surely, 222422112133 is an apocalyptic number.

It is an amenable number.

22422112133 is a deficient number, since it is larger than the sum of its proper divisors (426776107).

22422112133 is a wasteful number, since it uses less digits than its factorization.

22422112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408.

The product of its digits is 1152, while the sum is 23.

Adding to 22422112133 its reverse (33121122422), we get a palindrome (55543234555).

The spelling of 22422112133 in words is "twenty-two billion, four hundred twenty-two million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 73 313 809 1213 22849 59057 88549 253217 379669 981317 18484841 27715837 71636141 307152221 22422112133