Base | Representation |
---|---|
bin | 1110100101010… |
… | …00110100010000 |
3 | 22112011211010021 |
4 | 13102220310100 |
5 | 222303420123 |
6 | 20045513224 |
7 | 3013520260 |
oct | 722506420 |
9 | 275154107 |
10 | 122326288 |
11 | 63060607 |
12 | 34b72814 |
13 | 1c45ca26 |
14 | 123637a0 |
15 | ab14c5d |
hex | 74a8d10 |
122326288 has 80 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 48107520.
The previous prime is 122326277. The next prime is 122326307. The reversal of 122326288 is 882623221.
It is a happy number.
It is a super-3 number, since 3×1223262883 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77281 + ... + 78847.
Almost surely, 2122326288 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 122326288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).
122326288 is an abundant number, since it is smaller than the sum of its proper divisors (171654896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122326288 is a wasteful number, since it uses less digits than its factorization.
122326288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).
The product of its digits is 18432, while the sum is 34.
The square root of 122326288 is about 11060.1215183198. The cubic root of 122326288 is about 496.4093265204.
The spelling of 122326288 in words is "one hundred twenty-two million, three hundred twenty-six thousand, two hundred eighty-eight".
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