Base | Representation |
---|---|
bin | 1110100100100… |
… | …00100110000000 |
3 | 22111222210000121 |
4 | 13102100212000 |
5 | 222242231242 |
6 | 20043430024 |
7 | 3012625102 |
oct | 722204600 |
9 | 274883017 |
10 | 122227072 |
11 | 62aa3010 |
12 | 34b25314 |
13 | 1c426816 |
14 | 12339572 |
15 | aae5667 |
hex | 7490980 |
122227072 has 64 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 54346240.
The previous prime is 122227067. The next prime is 122227087. The reversal of 122227072 is 270722221.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
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, 65253 + ... + 67099.
It is an arithmetic number, because the mean of its divisors is an integer number (4241160).
Almost surely, 2122227072 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 122227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).
122227072 is an abundant number, since it is smaller than the sum of its proper divisors (149207168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122227072 is a wasteful number, since it uses less digits than its factorization.
122227072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1919 (or 1907 counting only the distinct ones).
The product of its (nonzero) digits is 1568, while the sum is 25.
The square root of 122227072 is about 11055.6353051283. The cubic root of 122227072 is about 496.2750815427.
Adding to 122227072 its reverse (270722221), we get a palindrome (392949293).
The spelling of 122227072 in words is "one hundred twenty-two million, two hundred twenty-seven thousand, seventy-two".
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