Search a number
-
+
2220222022020 = 223554357104851
BaseRepresentation
bin100000010011101111100…
…010111000000110000100
321212020210002102200200000
4200103233202320012010
5242334003314201040
64415542251121300
7316256112543342
oct40235742700604
97766702380600
102220222022020
117866554a5482
122ba363a43230
1313149b256042
147966052c992
153cb46927130
hex204ef8b8184

2220222022020 has 144 divisors (see below), whose sum is σ = 6985775404608. Its totient is φ = 591917673600.

The previous prime is 2220222021977. The next prime is 2220222022061. The reversal of 2220222022020 is 202202220222.

2220222022020 is a `hidden beast` number, since 2 + 2 + 202 + 220 + 220 + 20 = 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 = 2220222021984 and 2220222022002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21122595 + ... + 21227445.

Almost surely, 22220222022020 is an apocalyptic number.

2220222022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220222022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492887702304).

2220222022020 is an abundant number, since it is smaller than the sum of its proper divisors (4765553382588).

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

2220222022020 is a wasteful number, since it uses less digits than its factorization.

2220222022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109232 (or 109218 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2220222022020 its reverse (202202220222), we get a palindrome (2422424242242).

The spelling of 2220222022020 in words is "two trillion, two hundred twenty billion, two hundred twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4357 4860 8714 13071 17428 21785 26142 39213 43570 52284 65355 78426 87140 104851 117639 130710 156852 196065 209702 235278 261420 314553 352917 392130 419404 470556 524255 588195 629106 705834 784260 943659 1048510 1058751 1176390 1258212 1411668 1572765 1764585 1887318 2097020 2117502 2352780 2830977 3145530 3529170 3774636 4235004 4718295 5293755 5661954 6291060 7058340 8492931 9436590 10587510 11323908 14154885 16985862 18873180 21175020 25478793 28309770 33971724 42464655 50957586 56619540 84929310 101915172 127393965 169858620 254787930 456835807 509575860 913671614 1370507421 1827343228 2284179035 2741014842 4111522263 4568358070 5482029684 6852537105 8223044526 9136716140 12334566789 13705074210 16446089052 20557611315 24669133578 27410148420 37003700367 41115222630 49338267156 61672833945 74007400734 82230445260 111011101101 123345667890 148014801468 185018501835 222022202202 246691335780 370037003670 444044404404 555055505505 740074007340 1110111011010 2220222022020