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2202420242022 = 2372112132379901
BaseRepresentation
bin100000000011001010011…
…110011110011001100110
321210112211110020120100220
4200003022132132121212
5242041024040221042
64403440005145210
7315056012113200
oct40031236363146
97715743216326
102202420242022
1177a04a89a700
122b6a160bb206
1312c8c2108800
147885217d770
153c453b758ec
hex200ca79e666

2202420242022 has 432 divisors, whose sum is σ = 6264196189776. Its totient is φ = 513729216000.

The previous prime is 2202420241999. The next prime is 2202420242027.

2202420242022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2202420241983 and 2202420242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202420242027) 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 215 ways as a sum of consecutive naturals, for example, 222439272 + ... + 222449172.

It is an arithmetic number, because the mean of its divisors is an integer number (14500454143).

Almost surely, 22202420242022 is an apocalyptic number.

2202420242022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202420242022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132098094888).

2202420242022 is an abundant number, since it is smaller than the sum of its proper divisors (4061775947754).

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

2202420242022 is a wasteful number, since it uses less digits than its factorization.

2202420242022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 2202420 and 242022, that added together give a palindrome (2444442).

The spelling of 2202420242022 in words is "two trillion, two hundred two billion, four hundred twenty million, two hundred forty-two thousand, twenty-two".