Base | Representation |
---|---|
bin | 100000010101100110110… |
… | …000001100011101010010 |
3 | 21212102221110202012102200 |
4 | 200111212300030131102 |
5 | 242402102313031002 |
6 | 4420512533424030 |
7 | 316356506232642 |
oct | 40254660143522 |
9 | 7772843665380 |
10 | 2222222002002 |
11 | 787491428aa2 |
12 | 2ba82179b016 |
13 | 1317296c4252 |
14 | 797addc0522 |
15 | 3cc122d3b1c |
hex | 20566c0c752 |
2222222002002 has 12 divisors (see below), whose sum is σ = 4814814337710. Its totient is φ = 740740667328.
The previous prime is 2222222001983. The next prime is 2222222002031. The reversal of 2222222002002 is 2002002222222.
2222222002002 is a `hidden beast` number, since 22 + 222 + 220 + 0 + 200 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1679670432441 + 542551569561 = 1296021^2 + 736581^2 .
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: 123456777889 = 2222222002002 / (2 + 2 + 2 + 2 + 2 + 2 + 2 + 0 + 0 + 2 + 0 + 0 + 2).
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 61728388927 + ... + 61728388962.
Almost surely, 22222222002002 is an apocalyptic number.
2222222002002 is an abundant number, since it is smaller than the sum of its proper divisors (2592592335708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222222002002 is a wasteful number, since it uses less digits than its factorization.
2222222002002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123456777897 (or 123456777894 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
Adding to 2222222002002 its reverse (2002002222222), we get a palindrome (4224224224224).
It can be divided in two parts, 222222 and 2002002, that multiplied together give a palindrome (444888888444).
The spelling of 2222222002002 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, two thousand, two".
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