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2256827105 = 51350968213
BaseRepresentation
bin1000011010000100…
…0111001011100001
312211021121200210002
42012201013023201
514110221431410
61011535345345
7106632466601
oct20641071341
95737550702
102256827105
11a58a13675
1252b982255
1329c73a370
14175a30c01
15d31e47a5
hex868472e1

2256827105 has 16 divisors (see below), whose sum is σ = 2922287760. Its totient is φ = 1663281408.

The previous prime is 2256827081. The next prime is 2256827107. The reversal of 2256827105 is 5017286522.

It can be written as a sum of positive squares in 8 ways, for example, as 66961489 + 2189865616 = 8183^2 + 46796^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256827105 - 226 = 2189718241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2256827107) 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, 1022 + ... + 67191.

It is an arithmetic number, because the mean of its divisors is an integer number (182642985).

Almost surely, 22256827105 is an apocalyptic number.

It is an amenable number.

2256827105 is a deficient number, since it is larger than the sum of its proper divisors (665460655).

2256827105 is a wasteful number, since it uses less digits than its factorization.

2256827105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68740.

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 2256827105 is about 47506.0744010700. The cubic root of 2256827105 is about 1311.6946978943.

The spelling of 2256827105 in words is "two billion, two hundred fifty-six million, eight hundred twenty-seven thousand, one hundred five".

Divisors: 1 5 13 65 509 2545 6617 33085 68213 341065 886769 4433845 34720417 173602085 451365421 2256827105