Base | Representation |
---|---|
bin | 1110100100100… |
… | …01011000100000 |
3 | 22111222221110022 |
4 | 13102101120200 |
5 | 222242332204 |
6 | 20043453012 |
7 | 3012640400 |
oct | 722213040 |
9 | 274887408 |
10 | 122230304 |
11 | 62aa5489 |
12 | 34b27168 |
13 | 1c428131 |
14 | 1233a800 |
15 | aae65be |
hex | 7491620 |
122230304 has 72 divisors (see below), whose sum is σ = 282468060. Its totient is φ = 51910656.
The previous prime is 122230279. The next prime is 122230321. The reversal of 122230304 is 403032221.
It can be written as a sum of positive squares in 2 ways, for example, as 119858704 + 2371600 = 10948^2 + 1540^2 .
It is a zygodrome in base 3.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214532 + ... + 215100.
Almost surely, 2122230304 is an apocalyptic number.
122230304 is a gapful number since it is divisible by the number (14) 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 122230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141234030).
122230304 is an abundant number, since it is smaller than the sum of its proper divisors (160237756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122230304 is a wasteful number, since it uses less digits than its factorization.
122230304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 730 (or 715 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 122230304 is about 11055.7814739619. The cubic root of 122230304 is about 496.2794557699.
Adding to 122230304 its reverse (403032221), we get a palindrome (525262525).
The spelling of 122230304 in words is "one hundred twenty-two million, two hundred thirty thousand, three hundred four".
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