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2220020401 = 1927618081
BaseRepresentation
bin1000010001010010…
…1101001010110001
312201201100201110211
42010110231022301
514021311123101
61004142424121
7106004601454
oct20424551261
95651321424
102220020401
11a3a164205
1251b592041
13294c21151
14170bad49b
15ced73c51
hex8452d2b1

2220020401 has 12 divisors (see below), whose sum is σ = 2346382404. Its totient is φ = 2100153600.

The previous prime is 2220020377. The next prime is 2220020417. The reversal of 2220020401 is 1040200222.

It can be written as a sum of positive squares in 2 ways, for example, as 243328801 + 1976691600 = 15599^2 + 44460^2 .

It is not a de Polignac number, because 2220020401 - 29 = 2220019889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2220023401) 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 11 ways as a sum of consecutive naturals, for example, 270681 + ... + 278761.

It is an arithmetic number, because the mean of its divisors is an integer number (195531867).

Almost surely, 22220020401 is an apocalyptic number.

It is an amenable number.

2220020401 is a deficient number, since it is larger than the sum of its proper divisors (126362003).

2220020401 is an equidigital number, since it uses as much as digits as its factorization.

2220020401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2220020401 is about 47117.0924506171. The cubic root of 2220020401 is about 1304.5247460334.

Adding to 2220020401 its reverse (1040200222), we get a palindrome (3260220623).

The spelling of 2220020401 in words is "two billion, two hundred twenty million, twenty thousand, four hundred one".

Divisors: 1 19 361 761 8081 14459 153539 274721 2917241 6149641 116843179 2220020401