Search a number
-
+
22142110014 = 2321230117223
BaseRepresentation
bin10100100111110001…
…011100100100111110
32010011010021201202200
4110213301130210332
5330321340010024
614101050132330
71412462554413
oct244761344476
963133251680
1022142110014
119432709a82
12435b4210a6
13211b41a85b
1411009b410a
15898d502c9
hex527c5c93e

22142110014 has 12 divisors (see below), whose sum is σ = 47974571736. Its totient is φ = 7380703332.

The previous prime is 22142110007. The next prime is 22142110019. The reversal of 22142110014 is 41001124122.

22142110014 is a `hidden beast` number, since 221 + 421 + 10 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1230117223 = 22142110014 / (2 + 2 + 1 + 4 + 2 + 1 + 1 + 0 + 0 + 1 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 615058594 + ... + 615058629.

It is an arithmetic number, because the mean of its divisors is an integer number (3997880978).

Almost surely, 222142110014 is an apocalyptic number.

22142110014 is an abundant number, since it is smaller than the sum of its proper divisors (25832461722).

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

22142110014 is a wasteful number, since it uses less digits than its factorization.

22142110014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230117231 (or 1230117228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22142110014 its reverse (41001124122), we get a palindrome (63143234136).

The spelling of 22142110014 in words is "twenty-two billion, one hundred forty-two million, one hundred ten thousand, fourteen".

Divisors: 1 2 3 6 9 18 1230117223 2460234446 3690351669 7380703338 11071055007 22142110014