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2210330313 = 32457537401
BaseRepresentation
bin1000001110111110…
…1111011011001001
312201001010102011200
42003233233123021
514011321032223
61003155014413
7105526332462
oct20357573311
95631112150
102210330313
11a34745974
1251829a409
13292c0a679
1416d7a9d69
15ce0aca43
hex83bef6c9

2210330313 has 12 divisors (see below), whose sum is σ = 3199691508. Its totient is φ = 1470326400.

The previous prime is 2210330263. The next prime is 2210330321. The reversal of 2210330313 is 3130330122.

2210330313 is a `hidden beast` number, since 2 + 21 + 0 + 330 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1956469824 + 253860489 = 44232^2 + 15933^2 .

It is not a de Polignac number, because 2210330313 - 217 = 2210199241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2210330513) 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 11 ways as a sum of consecutive naturals, for example, 264588 + ... + 272813.

It is an arithmetic number, because the mean of its divisors is an integer number (266640959).

Almost surely, 22210330313 is an apocalyptic number.

It is an amenable number.

2210330313 is a deficient number, since it is larger than the sum of its proper divisors (989361195).

2210330313 is a wasteful number, since it uses less digits than its factorization.

2210330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537864 (or 537861 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2210330313 is about 47014.1501358899. The cubic root of 2210330313 is about 1302.6239532395.

Adding to 2210330313 its reverse (3130330122), we get a palindrome (5340660435).

The spelling of 2210330313 in words is "two billion, two hundred ten million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 457 1371 4113 537401 1612203 4836609 245592257 736776771 2210330313