Search a number
-
+
22144112425305 = 3251337853183633
BaseRepresentation
bin1010000100011110100111…
…11101000111100101011001
32220101221211021021002100100
411002033103331013211121
510400302120240102210
6115032510444330013
74443600514645263
oct502172375074531
986357737232310
1022144112425305
1170682a1193a62
122597816543909
13c48247402a40
14567ad0596b33
15286044b165c0
hex1423d3f47959

22144112425305 has 24 divisors (see below), whose sum is σ = 41335676528328. Its totient is φ = 10901716886016.

The previous prime is 22144112425297. The next prime is 22144112425313. The reversal of 22144112425305 is 50352421144122.

22144112425305 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 112 + 4 + 2 + 530 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (22144112425297) and next prime (22144112425313).

It can be written as a sum of positive squares in 4 ways, for example, as 1403912177424 + 20740200247881 = 1184868^2 + 4554141^2 .

It is not a de Polignac number, because 22144112425305 - 23 = 22144112425297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22144112425305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18926591232 + ... + 18926592401.

It is an arithmetic number, because the mean of its divisors is an integer number (1722319855347).

Almost surely, 222144112425305 is an apocalyptic number.

It is an amenable number.

22144112425305 is a deficient number, since it is larger than the sum of its proper divisors (19191564103023).

22144112425305 is a wasteful number, since it uses less digits than its factorization.

22144112425305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37853183657 (or 37853183654 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 22144112425305 its reverse (50352421144122), we get a palindrome (72496533569427).

It can be divided in two parts, 2214411 and 2425305, that added together give a square (4639716 = 21542).

The spelling of 22144112425305 in words is "twenty-two trillion, one hundred forty-four billion, one hundred twelve million, four hundred twenty-five thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 37853183633 113559550899 189265918165 340678652697 492091387229 567797754495 1476274161687 1703393263485 2460456936145 4428822485061 7381370808435 22144112425305