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2220202202020 = 225114110117314087
BaseRepresentation
bin100000010011101110010…
…111010001001110100100
321212020201201010201201221
4200103232113101032210
5242333433230431040
64415540302230124
7316255452224155
oct40235627211644
97766651121657
102220202202020
11786645298410
122ba359285344
1313149710682a
147965ba4d92c
153cb44d0e74a
hex204ee5d13a4

2220202202020 has 192 divisors, whose sum is σ = 5292715986432. Its totient is φ = 775293440000.

The previous prime is 2220202202017. The next prime is 2220202202021. The reversal of 2220202202020 is 202022020222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2220202201985 and 2220202202003.

It is not an unprimeable number, because it can be changed into a prime (2220202202021) 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 63 ways as a sum of consecutive naturals, for example, 157599417 + ... + 157613503.

It is an arithmetic number, because the mean of its divisors is an integer number (27566229096).

Almost surely, 22220202202020 is an apocalyptic number.

2220202202020 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 2220202202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646357993216).

2220202202020 is an abundant number, since it is smaller than the sum of its proper divisors (3072513784412).

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

2220202202020 is a wasteful number, since it uses less digits than its factorization.

2220202202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14420 counting only the distinct ones).

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

Adding to 2220202202020 its reverse (202022020222), we get a palindrome (2422224222242).

It can be divided in two parts, 2 and 220202202020, that added together give a palindrome (220202202022).

The spelling of 2220202202020 in words is "two trillion, two hundred twenty billion, two hundred two million, two hundred two thousand, twenty".