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2020020200 = 2352111019091
BaseRepresentation
bin111100001100111…
…0000111111101000
312012210000122202222
41320121300333220
513114111121300
6532240013212
7101025613502
oct17031607750
95183018688
102020020200
11947281090
12484601208
13262666a33
141523cad72
15bc519785
hex78670fe8

2020020200 has 96 divisors (see below), whose sum is σ = 5174802720. Its totient is φ = 727200000.

The previous prime is 2020020199. The next prime is 2020020203. The reversal of 2020020200 is 20200202.

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 (2020020203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 217655 + ... + 226745.

It is an arithmetic number, because the mean of its divisors is an integer number (53904195).

Almost surely, 22020020200 is an apocalyptic number.

2020020200 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 2020020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587401360).

2020020200 is an abundant number, since it is smaller than the sum of its proper divisors (3154782520).

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

2020020200 is a wasteful number, since it uses less digits than its factorization.

2020020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9210 counting only the distinct ones).

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

The square root of 2020020200 is about 44944.6348299772. The cubic root of 2020020200 is about 1264.1110785388. Note that the first 3 decimals are identical.

Adding to 2020020200 its reverse (20200202), we get a palindrome (2040220402).

2020020200 divided by its reverse (20200202) gives a square (100 = 102).

The spelling of 2020020200 in words is "two billion, twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 9091 10100 11110 18182 20200 22220 27775 36364 44440 45455 55550 72728 90910 100001 111100 181820 200002 222200 227275 363640 400004 454550 500005 800008 909100 918191 1000010 1818200 1836382 2000020 2500025 3672764 4000040 4590955 5000050 7345528 9181910 10000100 10100101 18363820 20000200 20200202 22954775 36727640 40400404 45909550 50500505 80800808 91819100 101001010 183638200 202002020 252502525 404004040 505005050 1010010100 2020020200