Search a number
-
+
2213623364105 = 517149174782737
BaseRepresentation
bin100000001101100110001…
…110111111101000001001
321211121202012220010201102
4200031212032333220021
5242232000040122410
64412531411031145
7315633436065536
oct40154616775011
97747665803642
102213623364105
1178387975308a
122b9021b9b4b5
1313098914152a
14791d6005d8d
153c8ac4892a5
hex203663bfa09

2213623364105 has 16 divisors (see below), whose sum is σ = 2831480355600. Its totient is φ = 1655542075392.

The previous prime is 2213623364081. The next prime is 2213623364123. The reversal of 2213623364105 is 5014633263122.

It can be written as a sum of positive squares in 8 ways, for example, as 5347119376 + 2208276244729 = 73124^2 + 1486027^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213623364105 - 26 = 2213623364041 is a prime.

It is a super-2 number, since 2×22136233641052 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87378704 + ... + 87404033.

It is an arithmetic number, because the mean of its divisors is an integer number (176967522225).

Almost surely, 22213623364105 is an apocalyptic number.

It is an amenable number.

2213623364105 is a deficient number, since it is larger than the sum of its proper divisors (617856991495).

2213623364105 is a wasteful number, since it uses less digits than its factorization.

2213623364105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174782908.

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 2213623364105 in words is "two trillion, two hundred thirteen billion, six hundred twenty-three million, three hundred sixty-four thousand, one hundred five".

Divisors: 1 5 17 85 149 745 2533 12665 174782737 873913685 2971306529 14856532645 26042627813 130213139065 442724672821 2213623364105