Search a number
-
+
22281449224329 = 321312120112
BaseRepresentation
bin1010001000011110011011…
…10111011011100010001001
32220220002022111200100011100
411010033031313123202021
510410024402000134304
6115215542332452013
74456532040325251
oct504171567334211
986802274610140
1022281449224329
117110567235859
1225ba36431a009
13c581932c3b69
145705dc210961
152898d1b21439
hex1443cdddb889

22281449224329 has 27 divisors (see below), whose sum is σ = 32434573183597. Its totient is φ = 14739680599800.

The previous prime is 22281449224303. The next prime is 22281449224337. The reversal of 22281449224329 is 92342294418222.

The square root of 22281449224329 is 4720323.

It is a perfect power (a square), and thus also a powerful number.

22281449224329 is a `hidden beast` number, since 2 + 2 + 2 + 81 + 44 + 92 + 2 + 432 + 9 = 666.

It is not a de Polignac number, because 22281449224329 - 217 = 22281449093257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22281449224829) 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 26 ways as a sum of consecutive naturals, for example, 1855080934 + ... + 1855092944.

Almost surely, 222281449224329 is an apocalyptic number.

22281449224329 is the 4720323-rd square number.

22281449224329 is the 2360162-nd centered octagonal number.

It is an amenable number.

22281449224329 is a deficient number, since it is larger than the sum of its proper divisors (10153123959268).

22281449224329 is an frugal number, since it uses more digits than its factorization.

22281449224329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24290 (or 12145 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 22281449224329 in words is "twenty-two trillion, two hundred eighty-one billion, four hundred forty-nine million, two hundred twenty-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 131 393 1179 12011 17161 36033 51483 108099 154449 1573441 4720323 14160969 144264121 206120771 432792363 618362313 1298377089 1855086939 18898599851 56695799553 170087398659 2475716580481 7427149741443 22281449224329