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22473908041 = 1310125766601
BaseRepresentation
bin10100111011100011…
…001001111101001001
32011000020121211002111
4110323203021331021
5332011310024131
614154021502321
71423632031534
oct247343117511
964006554074
1022473908041
119592a31822
1244325719a1
13217209cb50
141132aa3a1b
158b8040ab1
hex53b8c9f49

22473908041 has 16 divisors (see below), whose sum is σ = 24537775248. Its totient is φ = 20459520000.

The previous prime is 22473908033. The next prime is 22473908057. The reversal of 22473908041 is 14080937422.

22473908041 = 1060042 + 1060052.

It can be written as a sum of positive squares in 8 ways, for example, as 6874897225 + 15599010816 = 82915^2 + 124896^2 .

It is a 5-Lehmer number, since φ(22473908041) divides (22473908041-1)5.

It is a cyclic number.

It is not a de Polignac number, because 22473908041 - 23 = 22473908033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22473907985 and 22473908003.

It is not an unprimeable number, because it can be changed into a prime (22473908441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304141 + ... + 370741.

It is an arithmetic number, because the mean of its divisors is an integer number (1533610953).

Almost surely, 222473908041 is an apocalyptic number.

22473908041 is the 106005-th centered square number.

It is an amenable number.

22473908041 is a deficient number, since it is larger than the sum of its proper divisors (2063867207).

22473908041 is a wasteful number, since it uses less digits than its factorization.

22473908041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66972.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 22473908041 in words is "twenty-two billion, four hundred seventy-three million, nine hundred eight thousand, forty-one".

Divisors: 1 13 101 257 1313 3341 25957 66601 337441 865813 6726701 17116457 87447113 222513941 1728762157 22473908041