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2220000319 = 23149659983
BaseRepresentation
bin1000010001010010…
…1000010000111111
312201201022200221001
42010110220100333
514021310002234
61004142151131
7106004456065
oct20424502077
95651280831
102220000319
11a3a150109
1251b5824a7
13294c14c74
14170ba6035
15ced6cd14
hex8452843f

2220000319 has 16 divisors (see below), whose sum is σ = 2337984000. Its totient is φ = 2103883936.

The previous prime is 2220000287. The next prime is 2220000331. The reversal of 2220000319 is 9130000222.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2220000319 - 25 = 2220000287 is a prime.

It is a super-2 number, since 2×22200003192 = 9856802832720203522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2220000296 and 2220000305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220000619) 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, 2257902 + ... + 2258884.

It is an arithmetic number, because the mean of its divisors is an integer number (146124000).

Almost surely, 22220000319 is an apocalyptic number.

2220000319 is a deficient number, since it is larger than the sum of its proper divisors (117983681).

2220000319 is a wasteful number, since it uses less digits than its factorization.

2220000319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2220000319 is about 47116.8793427578. The cubic root of 2220000319 is about 1304.5208125043.

The spelling of 2220000319 in words is "two billion, two hundred twenty million, three hundred nineteen", and thus it is an aban number.

Divisors: 1 23 149 659 983 3427 15157 22609 98191 146467 647797 2258393 3368741 14899331 96521753 2220000319