Search a number
-
+
2020220220 = 2235193734751
BaseRepresentation
bin111100001101010…
…0001110100111100
312012210101211011010
41320122201310330
513114134021340
6532244155220
7101030405604
oct17032416474
95183354133
102020220220
119473a8397
12484698b10
13262706aa5
1415243dc04
15bc558b80
hex786a1d3c

2020220220 has 96 divisors (see below), whose sum is σ = 5971553280. Its totient is φ = 508896000.

The previous prime is 2020220197. The next prime is 2020220227. The reversal of 2020220220 is 220220202.

2020220220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2020220196 and 2020220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020220227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422845 + ... + 427595.

It is an arithmetic number, because the mean of its divisors is an integer number (62203680).

Almost surely, 22020220220 is an apocalyptic number.

2020220220 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 2020220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985776640).

2020220220 is an abundant number, since it is smaller than the sum of its proper divisors (3951333060).

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

2020220220 is a wasteful number, since it uses less digits than its factorization.

2020220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2020220220 is about 44946.8599570649. The cubic root of 2020220220 is about 1264.1528007540.

Adding to 2020220220 its reverse (220220202), we get a palindrome (2240440422).

The spelling of 2020220220 in words is "two billion, twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 373 380 570 746 1119 1140 1492 1865 2238 3730 4476 4751 5595 7087 7460 9502 11190 14174 14253 19004 21261 22380 23755 28348 28506 35435 42522 47510 57012 70870 71265 85044 90269 95020 106305 141740 142530 180538 212610 270807 285060 361076 425220 451345 541614 902690 1083228 1354035 1772123 1805380 2708070 3544246 5316369 5416140 7088492 8860615 10632738 17721230 21265476 26581845 33670337 35442460 53163690 67340674 101011011 106327380 134681348 168351685 202022022 336703370 404044044 505055055 673406740 1010110110 2020220220