Base | Representation |
---|---|
bin | 1111110000101… |
… | …10110101101010 |
3 | 100012210011200100 |
4 | 13320112311222 |
5 | 232321322442 |
6 | 21041450230 |
7 | 3163541625 |
oct | 770266552 |
9 | 305704610 |
10 | 132214122 |
11 | 686a4477 |
12 | 38340976 |
13 | 21512511 |
14 | 137b8dbc |
15 | b91984c |
hex | 7e16d6a |
132214122 has 48 divisors (see below), whose sum is σ = 304443360. Its totient is φ = 41350176.
The previous prime is 132214109. The next prime is 132214123. The reversal of 132214122 is 221412231.
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 = 132214095 and 132214104.
It is not an unprimeable number, because it can be changed into a prime (132214123) 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, 34788 + ... + 38400.
It is an arithmetic number, because the mean of its divisors is an integer number (6342570).
Almost surely, 2132214122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132214122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152221680).
132214122 is an abundant number, since it is smaller than the sum of its proper divisors (172229238).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132214122 is a wasteful number, since it uses less digits than its factorization.
132214122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3747 (or 3744 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 132214122 is about 11498.4399811453. The cubic root of 132214122 is about 509.4394995645.
Adding to 132214122 its reverse (221412231), we get a palindrome (353626353).
The spelling of 132214122 in words is "one hundred thirty-two million, two hundred fourteen thousand, one hundred twenty-two".
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