Search a number
-
+
22004420253435 = 335531493066769
BaseRepresentation
bin1010000000011010011011…
…01001110001011011111011
32212220121020212210111102000
411000031031221301123323
510341010023041102220
6114444405140312043
74430524022041134
oct500151551613373
985817225714360
1022004420253435
117014027640734
12257472b9a2623
13c3801454c989
1456103bbb8c8b
152825bae4d390
hex14034da716fb

22004420253435 has 32 divisors (see below), whose sum is σ = 39119718120000. Its totient is φ = 11735466167808.

The previous prime is 22004420253419. The next prime is 22004420253437. The reversal of 22004420253435 is 53435202440022.

22004420253435 is a `hidden beast` number, since 2 + 200 + 4 + 420 + 25 + 3 + 4 + 3 + 5 = 666.

It is not a de Polignac number, because 22004420253435 - 24 = 22004420253419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22004420253435.

It is not an unprimeable number, because it can be changed into a prime (22004420253437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5641731 + ... + 8708499.

It is an arithmetic number, because the mean of its divisors is an integer number (1222491191250).

Almost surely, 222004420253435 is an apocalyptic number.

22004420253435 is a deficient number, since it is larger than the sum of its proper divisors (17115297866565).

22004420253435 is a wasteful number, since it uses less digits than its factorization.

22004420253435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119932 (or 3119926 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 22004420253435 its reverse (53435202440022), we get a palindrome (75439622693457).

The spelling of 22004420253435 in words is "twenty-two trillion, four billion, four hundred twenty million, two hundred fifty-three thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 53149 159447 265745 478341 797235 1435023 2391705 3066769 7175115 9200307 15333845 27600921 46001535 82802763 138004605 414013815 162995705581 488987116743 814978527905 1466961350229 2444935583715 4400884050687 7334806751145 22004420253435