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22112110233 = 325741427957
BaseRepresentation
bin10100100101111111…
…000000011010011001
32010002000211120210200
4110211333000122121
5330241200011413
614054055132413
71411646556453
oct244577003231
963060746720
1022112110233
119417789774
124351374109
1321151459c5
1410daa052d3
158963c6573
hex525fc0699

22112110233 has 12 divisors (see below), whose sum is σ = 31945352868. Its totient is φ = 14738804640.

The previous prime is 22112110217. The next prime is 22112110303. The reversal of 22112110233 is 33201121122.

22112110233 is a `hidden beast` number, since 221 + 1 + 211 + 0 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3529785744 + 18582324489 = 59412^2 + 136317^2 .

It is not a de Polignac number, because 22112110233 - 24 = 22112110217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22112110213) 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 11 ways as a sum of consecutive naturals, for example, 162310 + ... + 265647.

It is an arithmetic number, because the mean of its divisors is an integer number (2662112739).

Almost surely, 222112110233 is an apocalyptic number.

It is an amenable number.

22112110233 is a deficient number, since it is larger than the sum of its proper divisors (9833242635).

22112110233 is a wasteful number, since it uses less digits than its factorization.

22112110233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433704 (or 433701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22112110233 its reverse (33201121122), we get a palindrome (55313231355).

The spelling of 22112110233 in words is "twenty-two billion, one hundred twelve million, one hundred ten thousand, two hundred thirty-three".

Divisors: 1 3 9 5741 17223 51669 427957 1283871 3851613 2456901137 7370703411 22112110233