Search a number
-
+
22111133220 = 22335113722413
BaseRepresentation
bin10100100101111011…
…010001111000100100
32010001221222221121000
4110211323101320210
5330240422230340
614054022153300
71411635350151
oct244573217044
963057887530
1022111133220
119417181720
124350b82830
132114b930a7
1410da82d228
15896281d30
hex525ed1e24

22111133220 has 96 divisors (see below), whose sum is σ = 75043866240. Its totient is φ = 5360273280.

The previous prime is 22111133179. The next prime is 22111133227. The reversal of 22111133220 is 2233111122.

22111133220 is a `hidden beast` number, since 221 + 111 + 332 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22111133193 and 22111133202.

It is not an unprimeable number, because it can be changed into a prime (22111133227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855267 + ... + 1867146.

It is an arithmetic number, because the mean of its divisors is an integer number (781706940).

Almost surely, 222111133220 is an apocalyptic number.

22111133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111133220 is an abundant number, since it is smaller than the sum of its proper divisors (52932733020).

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

22111133220 is a wasteful number, since it uses less digits than its factorization.

22111133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722442 (or 3722434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22111133220 its reverse (2233111122), we get a palindrome (24344244342).

The spelling of 22111133220 in words is "twenty-two billion, one hundred eleven million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3722413 7444826 11167239 14889652 18612065 22334478 33501717 37224130 40946543 44668956 55836195 67003434 74448260 81893086 100505151 111672390 122839629 134006868 163786172 167508585 201010302 204732715 223344780 245679258 335017170 368518887 402020604 409465430 491358516 502525755 614198145 670034340 737037774 818930860 1005051510 1105556661 1228396290 1474075548 1842594435 2010103020 2211113322 2456792580 3685188870 4422226644 5527783305 7370377740 11055566610 22111133220