Base | Representation |
---|---|
bin | 1111110000110… |
… | …01010011101000 |
3 | 100012210200112210 |
4 | 13320121103220 |
5 | 232322133412 |
6 | 21042005120 |
7 | 3163613250 |
oct | 770312350 |
9 | 305720483 |
10 | 132224232 |
11 | 68701028 |
12 | 383467a0 |
13 | 21516cba |
14 | 137bc960 |
15 | b91c83c |
hex | 7e194e8 |
132224232 has 128 divisors (see below), whose sum is σ = 406563840. Its totient is φ = 34974720.
The previous prime is 132224231. The next prime is 132224237. The reversal of 132224232 is 232422231.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 132224199 and 132224208.
It is not an unprimeable number, because it can be changed into a prime (132224231) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191007 + ... + 191697.
It is an arithmetic number, because the mean of its divisors is an integer number (3176280).
Almost surely, 2132224232 is an apocalyptic number.
132224232 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 132224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203281920).
132224232 is an abundant number, since it is smaller than the sum of its proper divisors (274339608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132224232 is a wasteful number, since it uses less digits than its factorization.
132224232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 791 (or 787 counting only the distinct ones).
The product of its digits is 1152, while the sum is 21.
The square root of 132224232 is about 11498.8795975956. The cubic root of 132224232 is about 509.4524843147.
Adding to 132224232 its reverse (232422231), we get a palindrome (364646463).
The spelling of 132224232 in words is "one hundred thirty-two million, two hundred twenty-four thousand, two hundred thirty-two".
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