Base | Representation |
---|---|
bin | 1110100101010… |
… | …11000110110100 |
3 | 22112012021222200 |
4 | 13102223012310 |
5 | 222304220133 |
6 | 20050024500 |
7 | 3013556520 |
oct | 722530664 |
9 | 275167880 |
10 | 122335668 |
11 | 63067664 |
12 | 34b78130 |
13 | 1c464090 |
14 | 12366d80 |
15 | ab17913 |
hex | 74ab1b4 |
122335668 has 144 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 31871232.
The previous prime is 122335667. The next prime is 122335669. The reversal of 122335668 is 866533221.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (122335667) and next prime (122335669).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a plaindrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122335667) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350358 + ... + 350706.
It is an arithmetic number, because the mean of its divisors is an integer number (2675400).
Almost surely, 2122335668 is an apocalyptic number.
122335668 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 122335668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).
122335668 is an abundant number, since it is smaller than the sum of its proper divisors (262921932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122335668 is a wasteful number, since it uses less digits than its factorization.
122335668 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 486 (or 481 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 122335668 is about 11060.5455561649. The cubic root of 122335668 is about 496.4220144458.
Adding to 122335668 its reverse (866533221), we get a palindrome (988868889).
It can be divided in two parts, 122 and 335668, that added together give a triangular number (335790 = T819).
The spelling of 122335668 in words is "one hundred twenty-two million, three hundred thirty-five thousand, six hundred sixty-eight".
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