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2222312313 = 313253191433
BaseRepresentation
bin1000010001110101…
…1100101101111001
312201212200011101110
42010131130231321
514022402443223
61004303510533
7106033225434
oct20435345571
95655604343
102222312313
11a4048a151
125202b8449
13295544400
1417120881b
15d0177d93
hex8475cb79

2222312313 has 48 divisors (see below), whose sum is σ = 3293789184. Its totient is φ = 1331665920.

The previous prime is 2222312273. The next prime is 2222312317. The reversal of 2222312313 is 3132132222.

It is a happy number.

It is not a de Polignac number, because 2222312313 - 212 = 2222308217 is a prime.

It is a super-2 number, since 2×22223123132 = 9877344033022819938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2222312313.

It is not an unprimeable number, because it can be changed into a prime (2222312317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5132145 + ... + 5132577.

It is an arithmetic number, because the mean of its divisors is an integer number (68620608).

Almost surely, 22222312313 is an apocalyptic number.

It is an amenable number.

2222312313 is a deficient number, since it is larger than the sum of its proper divisors (1071476871).

2222312313 is a wasteful number, since it uses less digits than its factorization.

2222312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2222312313 is about 47141.4076264169. The cubic root of 2222312313 is about 1304.9735148249.

Adding to 2222312313 its reverse (3132132222), we get a palindrome (5354444535).

The spelling of 2222312313 in words is "two billion, two hundred twenty-two million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 13 39 53 159 169 191 433 507 573 689 1299 2067 2483 5629 7449 8957 10123 16887 22949 26871 30369 32279 68847 73177 82703 96837 131599 219531 248109 298337 394797 895011 1075139 1710787 3225417 3878381 4383259 5132361 11635143 13149777 13976807 41930421 56982367 170947101 740770771 2222312313