Base | Representation |
---|---|
bin | 1110100110000… |
… | …00010011000000 |
3 | 22112100201001100 |
4 | 13103000103000 |
5 | 222320004324 |
6 | 20051534400 |
7 | 3014400543 |
oct | 723002300 |
9 | 275321040 |
10 | 122422464 |
11 | 6311689a |
12 | 34bba400 |
13 | 1c494738 |
14 | 1238a85a |
15 | ab334c9 |
hex | 74c04c0 |
122422464 has 84 divisors (see below), whose sum is σ = 352693224. Its totient is φ = 40599552.
The previous prime is 122422393. The next prime is 122422471. The reversal of 122422464 is 464224221.
It is a nude number because it is divisible by every one of its digits.
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, 147619 + ... + 148445.
Almost surely, 2122422464 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 122422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176346612).
122422464 is an abundant number, since it is smaller than the sum of its proper divisors (230270760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122422464 is a wasteful number, since it uses less digits than its factorization.
122422464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1102 (or 1089 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 122422464 is about 11064.4685367170. The cubic root of 122422464 is about 496.5393889337.
Adding to 122422464 its reverse (464224221), we get a palindrome (586646685).
It can be divided in two parts, 12242 and 2464, that added together give a triangular number (14706 = T171).
The spelling of 122422464 in words is "one hundred twenty-two million, four hundred twenty-two thousand, four hundred sixty-four".
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