Search a number
-
+
220212020202020 = 2257114320811598011
BaseRepresentation
bin110010000100100000011011…
…001111010100101000100100
31001212201001201022111210000222
4302010200123033110220210
5212330423204132431040
62100204001104223512
764245536101330250
oct6204403317245044
91055631638453028
10220212020202020
1164191436541240
122084669400ab98
1395b4b9ac7a952
143c5446651d260
151a6d3477aabb5
hexc8481b3d4a24

220212020202020 has 192 divisors, whose sum is σ = 590247235049472. Its totient is φ = 67009033728000.

The previous prime is 220212020201917. The next prime is 220212020202061. The reversal of 220212020202020 is 20202020212022.

It is a super-2 number, since 2×2202120202020202 (a number of 29 digits) contains 22 as substring.

220212020202020 is a modest number, since divided by 20202020 gives 2202120 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 220212020202020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137004815 + ... + 138602825.

It is an arithmetic number, because the mean of its divisors is an integer number (3074204349216).

Almost surely, 2220212020202020 is an apocalyptic number.

220212020202020 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 220212020202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295123617524736).

220212020202020 is an abundant number, since it is smaller than the sum of its proper divisors (370035214847452).

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

220212020202020 is a wasteful number, since it uses less digits than its factorization.

220212020202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600162 (or 1600160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 220212020202020 its reverse (20202020212022), we get a palindrome (240414040414042).

The spelling of 220212020202020 in words is "two hundred twenty trillion, two hundred twelve billion, twenty million, two hundred two thousand, twenty".