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2220222020 = 2252918121149
BaseRepresentation
bin1000010001010101…
…1110011001000100
312201201201222001012
42010111132121010
514021334101040
61004151021352
7106006401332
oct20425363104
95651658035
102220222020
11a3a291735
1251b66a858
13294c91b53
14170c22b52
15cedb3865
hex8455e644

2220222020 has 48 divisors (see below), whose sum is σ = 4850118000. Its totient is φ = 852687360.

The previous prime is 2220221951. The next prime is 2220222023. The reversal of 2220222020 is 202220222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 771506176 + 1448715844 = 27776^2 + 38062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2220221986 and 2220222004.

It is not an unprimeable number, because it can be changed into a prime (2220222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94406 + ... + 115554.

It is an arithmetic number, because the mean of its divisors is an integer number (101044125).

Almost surely, 22220222020 is an apocalyptic number.

2220222020 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 2220222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425059000).

2220222020 is an abundant number, since it is smaller than the sum of its proper divisors (2629895980).

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

2220222020 is a wasteful number, since it uses less digits than its factorization.

2220222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21368 (or 21366 counting only the distinct ones).

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

The square root of 2220222020 is about 47119.2319546913. The cubic root of 2220222020 is about 1304.5642365133.

Adding to 2220222020 its reverse (202220222), we get a palindrome (2422442242).

It can be divided in two parts, 2 and 220222020, that added together give a palindrome (220222022).

The spelling of 2220222020 in words is "two billion, two hundred twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 724 905 1810 3620 5249 10498 20996 21149 26245 42298 52490 84596 104980 105745 211490 422980 613321 1226642 2453284 3066605 3827969 6133210 7655938 12266420 15311876 19139845 38279690 76559380 111011101 222022202 444044404 555055505 1110111010 2220222020