Base | Representation |
---|---|
bin | 1111110000110… |
… | …01000000111000 |
3 | 100012210121220100 |
4 | 13320121000320 |
5 | 232322114112 |
6 | 21041555400 |
7 | 3163606614 |
oct | 770310070 |
9 | 305717810 |
10 | 132223032 |
11 | 68700137 |
12 | 38345b60 |
13 | 215165a6 |
14 | 137bc344 |
15 | b91c2dc |
hex | 7e19038 |
132223032 has 96 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 42040320.
The previous prime is 132223031. The next prime is 132223037. The reversal of 132223032 is 230322231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 132222996 and 132223014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132223031) 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, 138268 + ... + 139220.
It is an arithmetic number, because the mean of its divisors is an integer number (3906630).
Almost surely, 2132223032 is an apocalyptic number.
132223032 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 132223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).
132223032 is an abundant number, since it is smaller than the sum of its proper divisors (242813448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132223032 is a wasteful number, since it uses less digits than its factorization.
132223032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 132223032 is about 11498.8274184805. The cubic root of 132223032 is about 509.4509431327.
Adding to 132223032 its reverse (230322231), we get a palindrome (362545263).
The spelling of 132223032 in words is "one hundred thirty-two million, two hundred twenty-three thousand, thirty-two".
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