Search a number
-
+
2224422310341 = 3711192112639133
BaseRepresentation
bin100000010111101001111…
…001101101000111000101
321212122121211000110001010
4200113221321231013011
5242421104102412331
64421515133552433
7316465154445030
oct40275171550705
97778554013033
102224422310341
11788410449240
122bb136645719
131319ba50304a
147993c2dc017
153cce0561e46
hex205e9e6d1c5

2224422310341 has 128 divisors (see below), whose sum is σ = 3926105948160. Its totient is φ = 1085276102400.

The previous prime is 2224422310301. The next prime is 2224422310381. The reversal of 2224422310341 is 1430132244222.

2224422310341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2224422310301) and next prime (2224422310381).

It is not a de Polignac number, because 2224422310341 - 26 = 2224422310277 is a prime.

It is a super-2 number, since 2×22244223103412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2224422310299 and 2224422310308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224422310301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243554211 + ... + 243563343.

It is an arithmetic number, because the mean of its divisors is an integer number (30672702720).

Almost surely, 22224422310341 is an apocalyptic number.

2224422310341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2224422310341 is a deficient number, since it is larger than the sum of its proper divisors (1701683637819).

2224422310341 is a wasteful number, since it uses less digits than its factorization.

2224422310341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9647.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2224422310341 its reverse (1430132244222), we get a palindrome (3654554554563).

The spelling of 2224422310341 in words is "two trillion, two hundred twenty-four billion, four hundred twenty-two million, three hundred ten thousand, three hundred forty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 211 231 263 399 627 633 789 1463 1477 1841 2321 2893 4009 4389 4431 4997 5523 6963 8679 9133 12027 14991 16247 20251 27399 28063 34979 44099 48741 54967 55493 60753 63931 84189 100463 104937 132297 164901 166479 173527 191793 301389 308693 384769 388451 520581 610423 703241 926079 1054367 1154307 1165353 1214689 1831269 1908797 1927063 2109723 2401979 3163101 3644067 4272961 5726391 5781189 7205937 7380569 11598037 12818883 13361579 13489441 16813853 21197693 22141707 26421769 34794111 36614197 40084737 40468323 45637601 50441559 63593079 79265307 81186259 109842591 136912803 148383851 184952383 243558777 256299379 319463207 402756167 445151553 502013611 506817569 554857149 768898137 958389621 1208268501 1506040833 1520452707 2819293169 3514095277 3547722983 5574993259 8457879507 9629533811 10542285831 10643168949 16724979777 28888601433 39024952813 67406736677 105924871921 117074858439 202220210031 317774615763 741474103447 2224422310341