Base | Representation |
---|---|
bin | 1111110000110… |
… | …01100000010000 |
3 | 100012210201122201 |
4 | 13320121200100 |
5 | 232322200130 |
6 | 21042012544 |
7 | 3163615513 |
oct | 770314020 |
9 | 305721581 |
10 | 132225040 |
11 | 687016a2 |
12 | 38347154 |
13 | 2151748c |
14 | 137bcd7a |
15 | b91cbca |
hex | 7e19810 |
132225040 has 40 divisors (see below), whose sum is σ = 308527128. Its totient is φ = 52700160.
The previous prime is 132225019. The next prime is 132225073. The reversal of 132225040 is 40522231.
132225040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 85821696 + 46403344 = 9264^2 + 6812^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×1322250402 = 34966922406003200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 132224999 and 132225017.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20620 + ... + 26260.
Almost surely, 2132225040 is an apocalyptic number.
132225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132225040 is an abundant number, since it is smaller than the sum of its proper divisors (176302088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132225040 is a wasteful number, since it uses less digits than its factorization.
132225040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5947 (or 5941 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 19.
The square root of 132225040 is about 11498.9147313997. The cubic root of 132225040 is about 509.4535220387.
Adding to 132225040 its reverse (40522231), we get a palindrome (172747271).
It can be divided in two parts, 1322 and 25040, that added together give a palindrome (26362).
The spelling of 132225040 in words is "one hundred thirty-two million, two hundred twenty-five thousand, forty".
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