Base | Representation |
---|---|
bin | 1111110000100… |
… | …11111011110000 |
3 | 100012202120100200 |
4 | 13320103323300 |
5 | 232320432344 |
6 | 21041315200 |
7 | 3163462140 |
oct | 770237360 |
9 | 305676320 |
10 | 132202224 |
11 | 68696540 |
12 | 38335b00 |
13 | 21509c8b |
14 | 137b4920 |
15 | b916069 |
hex | 7e13ef0 |
132202224 has 120 divisors (see below), whose sum is σ = 461315712. Its totient is φ = 34335360.
The previous prime is 132202223. The next prime is 132202249. The reversal of 132202224 is 422202231.
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 = 132202197 and 132202206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132202223) 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, 5127 + ... + 17049.
Almost surely, 2132202224 is an apocalyptic number.
132202224 is a gapful number since it is divisible by the number (14) 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 132202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230657856).
132202224 is an abundant number, since it is smaller than the sum of its proper divisors (329113488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132202224 is a wasteful number, since it uses less digits than its factorization.
132202224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11955 (or 11946 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 132202224 is about 11497.9225949734. The cubic root of 132202224 is about 509.4242175535.
Adding to 132202224 its reverse (422202231), we get a palindrome (554404455).
The spelling of 132202224 in words is "one hundred thirty-two million, two hundred two thousand, two hundred twenty-four".
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