Search a number
-
+
2320320413224 = 23111713712898783
BaseRepresentation
bin100001110000111101110…
…111111011111000101000
322012211011010012211021101
4201300331313323320220
5301004004011210344
64533535051051144
7326431463043562
oct41607567737050
98184133184241
102320320413224
11815051423320
1231583a740ab4
1313aa61264c18
1480438682332
15405545e99d4
hex21c3ddfbe28

2320320413224 has 128 divisors (see below), whose sum is σ = 5066477683200. Its totient is φ = 984528240640.

The previous prime is 2320320413113. The next prime is 2320320413297. The reversal of 2320320413224 is 4223140230232.

It is a super-2 number, since 2×23203204132242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2320320413192 and 2320320413201.

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, 264178737 + ... + 264187519.

It is an arithmetic number, because the mean of its divisors is an integer number (39581856900).

Almost surely, 22320320413224 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 2320320413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533238841600).

2320320413224 is an abundant number, since it is smaller than the sum of its proper divisors (2746157269976).

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

2320320413224 is a wasteful number, since it uses less digits than its factorization.

2320320413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10243 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2320320413224 its reverse (4223140230232), we get a palindrome (6543460643456).

The spelling of 2320320413224 in words is "two trillion, three hundred twenty billion, three hundred twenty million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 137 187 274 374 548 748 1096 1289 1496 1507 2329 2578 3014 4658 5156 6028 8783 9316 10312 12056 14179 17566 18632 21913 25619 28358 35132 43826 51238 56716 70264 87652 96613 102476 113432 149311 175304 176593 193226 204952 241043 298622 353186 386452 482086 597244 706372 772904 964172 1194488 1203271 1412744 1642421 1928344 1942523 2406542 3002081 3284842 3885046 4813084 6004162 6569684 7770092 9626168 11321287 12008324 13139368 13235981 15540184 20455607 22642574 24016648 26471962 33022891 40911214 45285148 52943924 66045782 81822428 90570296 105887848 124534157 132091564 163644856 192461879 225011677 249068314 264183128 384923758 450023354 498136628 769847516 900046708 996273256 1539695032 1551016319 1800093416 2117080669 3102032638 4234161338 6204065276 8468322676 12408130552 16936645352 17061179509 26367277423 34122359018 52734554846 68244718036 105469109692 136489436072 210938219384 290040051653 580080103306 1160160206612 2320320413224