Search a number
-
+
2105506227 = 311232294159
BaseRepresentation
bin111110101111111…
…0111100110110011
312102201212210120010
41331133313212303
513303002144402
6544532150003
7103114336056
oct17537674663
95381783503
102105506227
11990559aa0
124a9168303
13277298196
1415d8c0a9d
15c4ca3a6c
hex7d7f79b3

2105506227 has 48 divisors (see below), whose sum is σ = 3312691200. Its totient is φ = 1178210880.

The previous prime is 2105506217. The next prime is 2105506237. The reversal of 2105506227 is 7226055012.

It is an interprime number because it is at equal distance from previous prime (2105506217) and next prime (2105506237).

It is not a de Polignac number, because 2105506227 - 26 = 2105506163 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2105506194 and 2105506203.

It is not an unprimeable number, because it can be changed into a prime (2105506217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504174 + ... + 508332.

It is an arithmetic number, because the mean of its divisors is an integer number (69014400).

Almost surely, 22105506227 is an apocalyptic number.

2105506227 is a deficient number, since it is larger than the sum of its proper divisors (1207184973).

2105506227 is a wasteful number, since it uses less digits than its factorization.

2105506227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2105506227 is about 45885.7954818264. The cubic root of 2105506227 is about 1281.6974198751.

The spelling of 2105506227 in words is "two billion, one hundred five million, five hundred six thousand, two hundred twenty-seven".

Divisors: 1 3 11 23 29 33 69 87 253 319 529 667 759 957 1587 2001 4159 5819 7337 12477 15341 17457 22011 45749 46023 95657 120611 137247 168751 286971 361833 506253 1052227 1326721 2200111 2774053 3156681 3980163 6600333 8322159 24201221 30514583 63803219 72603663 91543749 191409657 701835409 2105506227