Search a number
-
+
2206106511 = 37195529089
BaseRepresentation
bin1000001101111110…
…1000001110001111
312200202011211012120
42003133220032033
514004230402021
61002524304023
7105445411260
oct20337501617
95622154176
102206106511
11a32320524
125169a2013
1329208bc8b
1416cdca967
15cda262c6
hex837e838f

2206106511 has 16 divisors (see below), whose sum is σ = 3538617600. Its totient is φ = 1194283008.

The previous prime is 2206106489. The next prime is 2206106561. The reversal of 2206106511 is 1156016022.

It is not a de Polignac number, because 2206106511 - 211 = 2206104463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206106561) 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 15 ways as a sum of consecutive naturals, for example, 2764146 + ... + 2764943.

It is an arithmetic number, because the mean of its divisors is an integer number (221163600).

Almost surely, 22206106511 is an apocalyptic number.

2206106511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2206106511 is a deficient number, since it is larger than the sum of its proper divisors (1332511089).

2206106511 is a wasteful number, since it uses less digits than its factorization.

2206106511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529118.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2206106511 is about 46969.2081155303. The cubic root of 2206106511 is about 1301.7936800406.

The spelling of 2206106511 in words is "two billion, two hundred six million, one hundred six thousand, five hundred eleven".

Divisors: 1 3 7 19 21 57 133 399 5529089 16587267 38703623 105052691 116110869 315158073 735368837 2206106511