Base | Representation |
---|---|
bin | 1110100101010… |
… | …10010010110100 |
3 | 22112012010102102 |
4 | 13102222102310 |
5 | 222304113330 |
6 | 20050001232 |
7 | 3013544024 |
oct | 722522264 |
9 | 275163372 |
10 | 122332340 |
11 | 63065109 |
12 | 34b76218 |
13 | 1c462700 |
14 | 12365a84 |
15 | ab16945 |
hex | 74aa4b4 |
122332340 has 72 divisors (see below), whose sum is σ = 294681240. Its totient is φ = 42491904.
The previous prime is 122332339. The next prime is 122332349. The reversal of 122332340 is 43233221.
It can be written as a sum of positive squares in 12 ways, for example, as 67305616 + 55026724 = 8204^2 + 7418^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122332349) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56396 + ... + 58524.
It is an arithmetic number, because the mean of its divisors is an integer number (4092795).
Almost surely, 2122332340 is an apocalyptic number.
122332340 is a gapful number since it is divisible by the number (10) 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 122332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147340620).
122332340 is an abundant number, since it is smaller than the sum of its proper divisors (172348900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122332340 is a wasteful number, since it uses less digits than its factorization.
122332340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2181 (or 2166 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 122332340 is about 11060.3951104832. The cubic root of 122332340 is about 496.4175128766.
Adding to 122332340 its reverse (43233221), we get a palindrome (165565561).
The spelling of 122332340 in words is "one hundred twenty-two million, three hundred thirty-two thousand, three hundred forty".
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