Base | Representation |
---|---|
bin | 1110100100010… |
… | …10000010010000 |
3 | 22111221102011122 |
4 | 13102022002100 |
5 | 222240401313 |
6 | 20043101412 |
7 | 3012453554 |
oct | 722120220 |
9 | 274842148 |
10 | 122200208 |
11 | 62a84909 |
12 | 34b11868 |
13 | 1c417520 |
14 | 1232d864 |
15 | aadc708 |
hex | 748a090 |
122200208 has 40 divisors (see below), whose sum is σ = 255926328. Its totient is φ = 56189952.
The previous prime is 122200189. The next prime is 122200217. The reversal of 122200208 is 802002221.
It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 121176064 = 1012^2 + 11008^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64166 + ... + 66042.
Almost surely, 2122200208 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127963164).
122200208 is an abundant number, since it is smaller than the sum of its proper divisors (133726120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122200208 is a wasteful number, since it uses less digits than its factorization.
122200208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2211 (or 2205 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
The square root of 122200208 is about 11054.4202923536. The cubic root of 122200208 is about 496.2387205020.
Adding to 122200208 its reverse (802002221), we get a palindrome (924202429).
The spelling of 122200208 in words is "one hundred twenty-two million, two hundred thousand, two hundred eight".
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