Search a number
-
+
2020220020 = 2257213158573
BaseRepresentation
bin111100001101010…
…0001110001110100
312012210101210212201
41320122201301310
513114134020040
6532244154244
7101030405200
oct17032416164
95183353781
102020220020
119473a8225
12484698984
13262706980
1415243db00
15bc558a9a
hex786a1c74

2020220020 has 72 divisors (see below), whose sum is σ = 5314766184. Its totient is φ = 639362304.

The previous prime is 2020219969. The next prime is 2020220071. The reversal of 2020220020 is 200220202.

It is an interprime number because it is at equal distance from previous prime (2020219969) and next prime (2020220071).

It can be written as a sum of positive squares in 4 ways, for example, as 441588196 + 1578631824 = 21014^2 + 39732^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2020219979 and 2020220006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66547 + ... + 92026.

It is an arithmetic number, because the mean of its divisors is an integer number (73816197).

Almost surely, 22020220020 is an apocalyptic number.

2020220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020220020 is an abundant number, since it is smaller than the sum of its proper divisors (3294546164).

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

2020220020 is a wasteful number, since it uses less digits than its factorization.

2020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158609 (or 158600 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2020220020 is about 44946.8577322153. The cubic root of 2020220020 is about 1264.1527590374.

Adding to 2020220020 its reverse (200220202), we get a palindrome (2220440222).

The spelling of 2020220020 in words is "two billion, twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 158573 317146 634292 792865 1110011 1585730 2061449 2220022 3171460 4122898 4440044 5550055 7770077 8245796 10307245 11100110 14430143 15540154 20614490 22200220 28860286 31080308 38850385 41228980 57720572 72150715 77700770 101011001 144301430 155401540 202022002 288602860 404044004 505055005 1010110010 2020220020