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2222022002020 = 225330133656801
BaseRepresentation
bin100000010101011010110…
…101010000010101100100
321212102102112102011000221
4200111122311100111210
5242401200113031040
64420441031014124
7316351530245422
oct40253265202544
97772375364027
102222022002020
11787399546057
122ba78680a344
131316c7139c72
14797915dc112
153cbee97974a
hex2055ad50564

2222022002020 has 24 divisors (see below), whose sum is σ = 4667659928568. Its totient is φ = 888539520000.

The previous prime is 2222022001993. The next prime is 2222022002021. The reversal of 2222022002020 is 202002202222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10448519524 + 2211573482496 = 102218^2 + 1487136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2222022001985 and 2222022002003.

It is not an unprimeable number, because it can be changed into a prime (2222022002021) 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 7 ways as a sum of consecutive naturals, for example, 16762381 + ... + 16894420.

It is an arithmetic number, because the mean of its divisors is an integer number (194485830357).

Almost surely, 22222022002020 is an apocalyptic number.

2222022002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222022002020 is an abundant number, since it is smaller than the sum of its proper divisors (2445637926548).

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

2222022002020 is a wasteful number, since it uses less digits than its factorization.

2222022002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33660111 (or 33660109 counting only the distinct ones).

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

Adding to 2222022002020 its reverse (202002202222), we get a palindrome (2424024204242).

It can be divided in two parts, 222202 and 2002020, that added together give a palindrome (2224222).

The spelling of 2222022002020 in words is "two trillion, two hundred twenty-two billion, twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 3301 6602 13204 16505 33010 66020 33656801 67313602 134627204 168284005 336568010 673136020 111101100101 222202200202 444404400404 555505500505 1111011001010 2222022002020