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202222202020 = 225291013452069
BaseRepresentation
bin1011110001010101100…
…0011110110010100100
3201022222012202020120221
42330111120132302210
511303122340431040
6232522151334124
720416153233046
oct2742530366244
9638865666527
10202222202020
11788421854a3
1233237981344
13160b9825307
149b0529ba96
1553d85c974a
hex2f1561eca4

202222202020 has 48 divisors (see below), whose sum is σ = 443660036400. Its totient is φ = 77326323200.

The previous prime is 202222201957. The next prime is 202222202027. The reversal of 202222202020 is 20202222202.

It is a happy number.

202222202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15065598564 + 187156603456 = 122742^2 + 432616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202222201985 and 202222202003.

It is not an unprimeable number, because it can be changed into a prime (202222202027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1667455 + ... + 1784614.

It is an arithmetic number, because the mean of its divisors is an integer number (9242917425).

Almost surely, 2202222202020 is an apocalyptic number.

202222202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222202020 is an abundant number, since it is smaller than the sum of its proper divisors (241437834380).

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

202222202020 is a wasteful number, since it uses less digits than its factorization.

202222202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452208 (or 3452206 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202222202020 its reverse (20202222202), we get a palindrome (222424424222).

It can be divided in two parts, 202 and 222202020, that added together give a palindrome (222202222).

The spelling of 202222202020 in words is "two hundred two billion, two hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 1010 2020 2929 5858 11716 14645 29290 58580 3452069 6904138 13808276 17260345 34520690 69041380 100110001 200220002 348658969 400440004 500550005 697317938 1001100010 1394635876 1743294845 2002200020 3486589690 6973179380 10111110101 20222220202 40444440404 50555550505 101111101010 202222202020