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202222002020 = 22512018418901
BaseRepresentation
bin1011110001010101011…
…1101101111101100100
3201022222012101002020112
42330111113231331210
511303122313031040
6232522143152152
720416151441003
oct2742527557544
9638865332215
10202222002020
1178842059205
12332378a5658
13160b978527c
149b05248c3a
1553d858a365
hex2f155edf64

202222002020 has 24 divisors (see below), whose sum is σ = 425019848568. Its totient is φ = 80821440000.

The previous prime is 202222002013. The next prime is 202222002041. The reversal of 202222002020 is 20200222202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2829388864 + 199392613156 = 53192^2 + 446534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202222001986 and 202222002004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4185431 + ... + 4233470.

It is an arithmetic number, because the mean of its divisors is an integer number (17709160357).

Almost surely, 2202222002020 is an apocalyptic number.

202222002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222002020 is an abundant number, since it is smaller than the sum of its proper divisors (222797846548).

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

202222002020 is a wasteful number, since it uses less digits than its factorization.

202222002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420111 (or 8420109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 202222002020 its reverse (20200222202), we get a palindrome (222422224222).

The spelling of 202222002020 in words is "two hundred two billion, two hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 1201 2402 4804 6005 12010 24020 8418901 16837802 33675604 42094505 84189010 168378020 10111100101 20222200202 40444400404 50555500505 101111001010 202222002020