Base | Representation |
---|---|
bin | 100000000001000111011… |
… | …101101100011010110010 |
3 | 21210100011021021120202000 |
4 | 200001013131230122302 |
5 | 242022023342101002 |
6 | 4402433530034430 |
7 | 314650362211440 |
oct | 40010735543262 |
9 | 7710137246660 |
10 | 2200222222002 |
11 | 7791220a2732 |
12 | 2b6501b78a16 |
13 | 12c63191b44c |
14 | 786c4299b90 |
15 | 3c375bea61c |
hex | 2004776c6b2 |
2200222222002 has 128 divisors (see below), whose sum is σ = 5721149767680. Its totient is φ = 613707969600.
The previous prime is 2200222221991. The next prime is 2200222222031. The reversal of 2200222222002 is 2002222220022.
2200222222002 is a `hidden beast` number, since 220 + 0 + 2 + 222 + 220 + 0 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6897127 + ... + 7209077.
It is an arithmetic number, because the mean of its divisors is an integer number (44696482560).
Almost surely, 22200222222002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2200222222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860574883840).
2200222222002 is an abundant number, since it is smaller than the sum of its proper divisors (3520927545678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200222222002 is a wasteful number, since it uses less digits than its factorization.
2200222222002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 312413 (or 312407 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
Adding to 2200222222002 its reverse (2002222220022), we get a palindrome (4202444442024).
It can be divided in two parts, 2 and 200222222002, that multiplied together give a palindrome (400444444004).
The spelling of 2200222222002 in words is "two trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, two".
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