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2020202000 = 245373101137
BaseRepresentation
bin111100001101001…
…1101011000010000
312012210100220011022
41320122131120100
513114132431000
6532243535012
7101030301515
oct17032353020
95183326138
102020202000
11947395733
1248468a468
132626cb6cb
1415243730c
15bc553585
hex7869d610

2020202000 has 160 divisors (see below), whose sum is σ = 5037293664. Its totient is φ = 783360000.

The previous prime is 2020201991. The next prime is 2020202003. The reversal of 2020202000 is 2020202.

It can be written as a sum of positive squares in 16 ways, for example, as 696115456 + 1324086544 = 26384^2 + 36388^2 .

It is a super-2 number, since 2×20202020002 = 8162432241608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2020202003) 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, 14745932 + ... + 14746068.

Almost surely, 22020202000 is an apocalyptic number.

2020202000 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 2020202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518646832).

2020202000 is an abundant number, since it is smaller than the sum of its proper divisors (3017091664).

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

2020202000 is a wasteful number, since it uses less digits than its factorization.

2020202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2020202000 is about 44946.6572728162. The cubic root of 2020202000 is about 1264.1490003543.

Adding to 2020202000 its reverse (2020202), we get a palindrome (2022222202).

2020202000 divided by its reverse (2020202) gives a cube (1000 = 103).

It can be divided in two parts, 2020 and 202000, that multiplied together give a square (408040000 = 202002).

The spelling of 2020202000 in words is "two billion, twenty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 101 125 137 146 200 202 250 274 292 365 400 404 500 505 548 584 685 730 808 1000 1010 1096 1168 1370 1460 1616 1825 2000 2020 2192 2525 2740 2920 3425 3650 4040 5050 5480 5840 6850 7300 7373 8080 9125 10001 10100 10960 12625 13700 13837 14600 14746 17125 18250 20002 20200 25250 27400 27674 29200 29492 34250 36500 36865 40004 40400 50005 50500 54800 55348 58984 68500 69185 73000 73730 80008 100010 101000 110696 117968 137000 138370 146000 147460 160016 184325 200020 202000 221392 250025 274000 276740 294920 345925 368650 400040 500050 553480 589840 691850 737300 800080 921625 1000100 1010101 1106960 1250125 1383700 1474600 1729625 1843250 2000200 2020202 2500250 2767400 2949200 3459250 3686500 4000400 4040404 5000500 5050505 5534800 6918500 7373000 8080808 10001000 10101010 13837000 14746000 16161616 20002000 20202020 25252525 27674000 40404040 50505050 80808080 101010100 126262625 202020200 252525250 404040400 505050500 1010101000 2020202000