Base | Representation |
---|---|
bin | 111011101010111… |
… | …0111101110110010 |
3 | 12011112112102020110 |
4 | 1313111313232302 |
5 | 13100032101002 |
6 | 530402322150 |
7 | 100421414634 |
oct | 16725675662 |
9 | 5145472213 |
10 | 2002222002 |
11 | 938225030 |
12 | 47a659356 |
13 | 25ba74861 |
14 | 14dcb6a54 |
15 | baba0e6c |
hex | 77577bb2 |
2002222002 has 64 divisors (see below), whose sum is σ = 4540354560. Its totient is φ = 583060800.
The previous prime is 2002221997. The next prime is 2002222007.
2002222002 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (2002221997) and next prime (2002222007).
It is not an unprimeable number, because it can be changed into a prime (2002222007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424477 + ... + 429167.
It is an arithmetic number, because the mean of its divisors is an integer number (70943040).
Almost surely, 22002222002 is an apocalyptic number.
2002222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270177280).
2002222002 is an abundant number, since it is smaller than the sum of its proper divisors (2538132558).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002222002 is a wasteful number, since it uses less digits than its factorization.
2002222002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4959.
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 2002222002 is about 44746.1953913403. The cubic root of 2002222002 is about 1260.3874683891.
It can be divided in two parts, 20022 and 22002, that added together give a palindrome (42024).
The spelling of 2002222002 in words is "two billion, two million, two hundred twenty-two thousand, two".
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