Base | Representation |
---|---|
bin | 100000001100010001011… |
… | …001011000000001101010 |
3 | 21211111002000121212120200 |
4 | 200030101121120001222 |
5 | 242221041201201442 |
6 | 4412134243533030 |
7 | 315553243634466 |
oct | 40142131300152 |
9 | 7744060555520 |
10 | 2212200022122 |
11 | 7832092711a2 |
12 | 2b88a538a176 |
13 | 1307c02ac43c |
14 | 790dcd794a6 |
15 | 3c82753334c |
hex | 2031165806a |
2212200022122 has 48 divisors (see below), whose sum is σ = 5079177384840. Its totient is φ = 693458712576.
The previous prime is 2212200022117. The next prime is 2212200022177.
2212200022122 is a `hidden beast` number, since 221 + 2 + 200 + 0 + 221 + 22 = 666.
2212200022122 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 2088773577081 + 123426445041 = 1445259^2 + 351321^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2212200022095 and 2212200022104.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2565103 + ... + 3317250.
Almost surely, 22212200022122 is an apocalyptic number.
2212200022122 is an abundant number, since it is smaller than the sum of its proper divisors (2866977362718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212200022122 is a wasteful number, since it uses less digits than its factorization.
2212200022122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5883607 (or 5883604 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
It can be divided in two parts, 22122000 and 22122, that added together give a palindrome (22144122).
The spelling of 2212200022122 in words is "two trillion, two hundred twelve billion, two hundred million, twenty-two thousand, one hundred twenty-two".
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