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2142222003 = 321714001451
BaseRepresentation
bin111111110101111…
…1011011010110011
312112021222011010200
41333223323122303
513341402101003
6552323130243
7104041405125
oct17753733263
95467864120
102142222003
119aa257109
124b9513983
13281a81bac
1416471b215
15c81076a3
hex7fafb6b3

2142222003 has 12 divisors (see below), whose sum is σ = 3276339768. Its totient is φ = 1344139200.

The previous prime is 2142221993. The next prime is 2142222007. The reversal of 2142222003 is 3002222412.

2142222003 is a `hidden beast` number, since 21 + 422 + 220 + 0 + 3 = 666.

It is not a de Polignac number, because 2142222003 - 213 = 2142213811 is a prime.

It is a super-2 number, since 2×21422220032 = 9178230220274664018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2142222007) 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 11 ways as a sum of consecutive naturals, for example, 7000573 + ... + 7000878.

It is an arithmetic number, because the mean of its divisors is an integer number (273028314).

Almost surely, 22142222003 is an apocalyptic number.

2142222003 is a deficient number, since it is larger than the sum of its proper divisors (1134117765).

2142222003 is a wasteful number, since it uses less digits than its factorization.

2142222003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001474 (or 14001471 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2142222003 is about 46284.1441856712. The cubic root of 2142222003 is about 1289.1046012837.

Adding to 2142222003 its reverse (3002222412), we get a palindrome (5144444415).

It can be divided in two parts, 214222 and 2003, that added together give a square (216225 = 4652).

The spelling of 2142222003 in words is "two billion, one hundred forty-two million, two hundred twenty-two thousand, three".

Divisors: 1 3 9 17 51 153 14001451 42004353 126013059 238024667 714074001 2142222003