Search a number
-
+
2163114 = 232177069
BaseRepresentation
bin1000010000000110101010
311001220020100
420100012222
51023204424
6114210230
724246312
oct10200652
94056210
102163114
1112481a8
12883976
135a9765
14404442
152cadc9
hex2101aa

2163114 has 24 divisors (see below), whose sum is σ = 4963140. Its totient is φ = 678528.

The previous prime is 2163113. The next prime is 2163137. The reversal of 2163114 is 4113612.

It is a happy number.

2163114 is a `hidden beast` number, since 21 + 631 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2152089 + 11025 = 1467^2 + 105^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2163113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3229 + ... + 3840.

22163114 is an apocalyptic number.

2163114 is an abundant number, since it is smaller than the sum of its proper divisors (2800026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2163114 is a wasteful number, since it uses less digits than its factorization.

2163114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7091 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2163114 is about 1470.7528684317. The cubic root of 2163114 is about 129.3281711075.

Adding to 2163114 its reverse (4113612), we get a palindrome (6276726).

The spelling of 2163114 in words is "two million, one hundred sixty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 7069 14138 21207 42414 63621 120173 127242 240346 360519 721038 1081557 2163114