Search a number
-
+
2243320420044 = 22311831094918701
BaseRepresentation
bin100000101001010000010…
…100010001011011001100
321221110101212010212222010
4200221100110101123030
5243223310011420134
64434322302021220
7321034366643544
oct40512024213314
97843355125863
102243320420044
11795428991820
1230292b577810
1313370c817792
147a812112324
153d5496c1ce9
hex20a505116cc

2243320420044 has 96 divisors (see below), whose sum is σ = 5779905465600. Its totient is φ = 671506528000.

The previous prime is 2243320420039. The next prime is 2243320420057. The reversal of 2243320420044 is 4400240233422.

It is a junction number, because it is equal to n+sod(n) for n = 2243320419993 and 2243320420020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119947894 + ... + 119966594.

It is an arithmetic number, because the mean of its divisors is an integer number (60207348600).

Almost surely, 22243320420044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243320420044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889952732800).

2243320420044 is an abundant number, since it is smaller than the sum of its proper divisors (3536585045556).

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

2243320420044 is a wasteful number, since it uses less digits than its factorization.

2243320420044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29751 (or 29749 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2243320420044 its reverse (4400240233422), we get a palindrome (6643560653466).

The spelling of 2243320420044 in words is "two trillion, two hundred forty-three billion, three hundred twenty million, four hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 3652 5478 10949 10956 18701 21898 32847 37402 43796 56103 65694 74804 112206 120439 131388 205711 224412 240878 361317 411422 481756 617133 722634 822844 908767 1234266 1445268 1552183 1817534 2468532 2726301 3104366 3635068 4656549 5452602 6208732 9313098 9996437 10905204 17074013 18626196 19992874 29989311 34148026 39985748 51222039 59978622 68296052 102444078 119957244 204757249 204888156 409514498 614271747 819028996 1228543494 2252329739 2457086988 4504659478 6756989217 9009318956 13513978434 16994851667 27027956868 33989703334 50984555001 67979406668 101969110002 186943368337 203938220004 373886736674 560830105011 747773473348 1121660210022 2243320420044