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2221122020 = 225138542777
BaseRepresentation
bin1000010001100011…
…1010000111100100
312201210102200121112
42010120322013210
514022101401040
61004222204152
7106020140255
oct20430720744
95653380545
102221122020
11a3a846937
1251ba23658
132952186b0
14170db8b2c
15ceee0365
hex8463a1e4

2221122020 has 24 divisors (see below), whose sum is σ = 5023153464. Its totient is φ = 820106496.

The previous prime is 2221122019. The next prime is 2221122023. The reversal of 2221122020 is 202211222.

It can be written as a sum of positive squares in 4 ways, for example, as 345885604 + 1875236416 = 18598^2 + 43304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2221121986 and 2221122004.

It is not an unprimeable number, because it can be changed into a prime (2221122023) 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 7 ways as a sum of consecutive naturals, for example, 4271129 + ... + 4271648.

It is an arithmetic number, because the mean of its divisors is an integer number (209298061).

Almost surely, 22221122020 is an apocalyptic number.

2221122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221122020 is an abundant number, since it is smaller than the sum of its proper divisors (2802031444).

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

2221122020 is a wasteful number, since it uses less digits than its factorization.

2221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542799 (or 8542797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2221122020 is about 47128.7812276108. The cubic root of 2221122020 is about 1304.7404875354.

Adding to 2221122020 its reverse (202211222), we get a palindrome (2423333242).

The spelling of 2221122020 in words is "two billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8542777 17085554 34171108 42713885 85427770 111056101 170855540 222112202 444224404 555280505 1110561010 2221122020