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2225315105 = 51322633509
BaseRepresentation
bin1000010010100011…
…1001110100100001
312202002022201102222
42010220321310201
514024140040410
61004452120425
7106100603066
oct20450716441
95662281388
102225315105
11a421501a2
12521306115
13296056100
1417178ac6d
15d056c955
hex84a39d21

2225315105 has 12 divisors (see below), whose sum is σ = 2891593980. Its totient is φ = 1643308992.

The previous prime is 2225315083. The next prime is 2225315107. The reversal of 2225315105 is 5015135222.

It can be written as a sum of positive squares in 6 ways, for example, as 958026304 + 1267288801 = 30952^2 + 35599^2 .

It is not a de Polignac number, because 2225315105 - 28 = 2225314849 is a prime.

It is a super-2 number, since 2×22253151052 = 9904054633082322050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2225315107) 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, 1315910 + ... + 1317599.

It is an arithmetic number, because the mean of its divisors is an integer number (240966165).

Almost surely, 22225315105 is an apocalyptic number.

It is an amenable number.

2225315105 is a deficient number, since it is larger than the sum of its proper divisors (666278875).

2225315105 is a wasteful number, since it uses less digits than its factorization.

2225315105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633540 (or 2633527 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 2225315105 is about 47173.2456483545. The cubic root of 2225315105 is about 1305.5610110719.

The spelling of 2225315105 in words is "two billion, two hundred twenty-five million, three hundred fifteen thousand, one hundred five".

Divisors: 1 5 13 65 169 845 2633509 13167545 34235617 171178085 445063021 2225315105