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22245152332041 = 32171091333882133
BaseRepresentation
bin1010000111011010110100…
…11001110001100100001001
32220202121121220200011110100
411003231122121301210021
510403431032444111131
6115151140520240013
74454105416663662
oct503553231614411
986677556604410
1022245152332041
1170a713061a411
1225b3314610009
13c5492a4b28c2
1456c957792369
152889aa2b67e6
hex143b5a671909

22245152332041 has 24 divisors (see below), whose sum is σ = 34334126129160. Its totient is φ = 13829689944576.

The previous prime is 22245152331991. The next prime is 22245152332061. The reversal of 22245152332041 is 14023325154222.

22245152332041 is a `hidden beast` number, since 2 + 2 + 24 + 51 + 523 + 3 + 20 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15391772865225 + 6853379466816 = 3923235^2 + 2617896^2 .

It is not a de Polignac number, because 22245152332041 - 233 = 22236562397449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22245152331987 and 22245152332005.

It is not an unprimeable number, because it can be changed into a prime (22245152332061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666924390 + ... + 666957743.

It is an arithmetic number, because the mean of its divisors is an integer number (1430588588715).

Almost surely, 222245152332041 is an apocalyptic number.

It is an amenable number.

22245152332041 is a deficient number, since it is larger than the sum of its proper divisors (12088973797119).

22245152332041 is a wasteful number, since it uses less digits than its factorization.

22245152332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333882265 (or 1333882262 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 22245152332041 its reverse (14023325154222), we get a palindrome (36268477486263).

The spelling of 22245152332041 in words is "twenty-two trillion, two hundred forty-five billion, one hundred fifty-two million, three hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 17 51 109 153 327 981 1853 5559 16677 1333882133 4001646399 12004939197 22675996261 68027988783 145393152497 204083966349 436179457491 1308538372473 2471683592449 7415050777347 22245152332041