Base | Representation |
---|---|
bin | 1110100100011… |
… | …11101000011100 |
3 | 22111222120121200 |
4 | 13102033220130 |
5 | 222242120012 |
6 | 20043355500 |
7 | 3012610443 |
oct | 722175034 |
9 | 274876550 |
10 | 122223132 |
11 | 62aa0059 |
12 | 34b22b90 |
13 | 1c424aa5 |
14 | 12337d5a |
15 | aae43dc |
hex | 748fa1c |
122223132 has 72 divisors (see below), whose sum is σ = 335174112. Its totient is φ = 37401600.
The previous prime is 122223119. The next prime is 122223133. The reversal of 122223132 is 231322221.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122223133) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22657 + ... + 27527.
It is an arithmetic number, because the mean of its divisors is an integer number (4655196).
Almost surely, 2122223132 is an apocalyptic number.
122223132 is a gapful number since it is divisible by the number (12) 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 122223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167587056).
122223132 is an abundant number, since it is smaller than the sum of its proper divisors (212950980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122223132 is a wasteful number, since it uses less digits than its factorization.
122223132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4939 (or 4934 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 122223132 is about 11055.4571140229. The cubic root of 122223132 is about 496.2697489957.
Adding to 122223132 its reverse (231322221), we get a palindrome (353545353).
The spelling of 122223132 in words is "one hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-two".
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