Base | Representation |
---|---|
bin | 111000111000111001… |
… | …0110010001000000000 |
3 | 102200100010001201012200 |
4 | 1301301302302020000 |
5 | 4000200031102313 |
6 | 132042344553200 |
7 | 11553304516644 |
oct | 1616162621000 |
9 | 380303051180 |
10 | 122168222208 |
11 | 478a185a5aa |
12 | 1b815a82800 |
13 | b69c4707a6 |
14 | 5cad2b0c24 |
15 | 32a04e6b73 |
hex | 1c71cb2200 |
122168222208 has 270 divisors, whose sum is σ = 373497800247. Its totient is φ = 38437079040.
The previous prime is 122168222207. The next prime is 122168222249. The reversal of 122168222208 is 802222861221.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
122168222208 is a `hidden beast` number, since 1 + 221 + 6 + 8 + 222 + 208 = 666.
It can be written as a sum of positive squares in only one way, i.e., 61084111104 + 61084111104 = 247152^2 + 247152^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=247152.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (122168222207) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 450805113 + ... + 450805383.
Almost surely, 2122168222208 is an apocalyptic number.
122168222208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122168222208
122168222208 is an abundant number, since it is smaller than the sum of its proper divisors (251329578039).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122168222208 is an frugal number, since it uses more digits than its factorization.
122168222208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 604 (or 295 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The spelling of 122168222208 in words is "one hundred twenty-two billion, one hundred sixty-eight million, two hundred twenty-two thousand, two hundred eight".
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