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2224252221444 = 22321121268940241
BaseRepresentation
bin100000010111011111110…
…000110111100000000100
321212122011221222000221100
4200113133300313200010
5242420232032041234
64421450220220100
7316461020636031
oct40273760674004
97778157860840
102224252221444
11788333435a00
122bb0a969a630
131319911bc426
14799238a4388
153ccd0665399
hex205dfc37804

2224252221444 has 108 divisors (see below), whose sum is σ = 6180650870940. Its totient is φ = 673945958400.

The previous prime is 2224252221343. The next prime is 2224252221463. The reversal of 2224252221444 is 4441222524222.

2224252221444 is a `hidden beast` number, since 2 + 2 + 2 + 425 + 2 + 221 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204692904900 + 2019559316544 = 452430^2 + 1421112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2224252221399 and 2224252221408.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 55253164 + ... + 55293404.

It is an arithmetic number, because the mean of its divisors is an integer number (57228248805).

Almost surely, 22224252221444 is an apocalyptic number.

It is an amenable number.

2224252221444 is an abundant number, since it is smaller than the sum of its proper divisors (3956398649496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2224252221444 is a wasteful number, since it uses less digits than its factorization.

2224252221444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52962 (or 52946 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

Adding to 2224252221444 its reverse (4441222524222), we get a palindrome (6665474745666).

The spelling of 2224252221444 in words is "two trillion, two hundred twenty-four billion, two hundred fifty-two million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 12689 25378 38067 40241 50756 76134 80482 114201 120723 139579 152268 160964 228402 241446 279158 362169 418737 442651 456804 482892 558316 724338 837474 885302 1256211 1327953 1448676 1535369 1674948 1770604 2512422 2655906 3070738 3983859 4606107 4869161 5024844 5311812 6141476 7967718 9212214 9738322 13818321 14607483 15935436 18424428 19476644 27636642 29214966 43822449 55273284 58429932 87644898 175289796 510618049 1021236098 1531854147 2042472196 3063708294 4595562441 5616798539 6127416588 9191124882 11233597078 16850395617 18382249764 22467194156 33700791234 50551186851 61784783929 67401582468 101102373702 123569567858 185354351787 202204747404 247139135716 370708703574 556063055361 741417407148 1112126110722 2224252221444