Base | Representation |
---|---|
bin | 10011011101010… |
… | …10100110000000 |
3 | 102101010211202200 |
4 | 21232222212000 |
5 | 313241244112 |
6 | 24110313200 |
7 | 4021262322 |
oct | 1156524600 |
9 | 371124680 |
10 | 163228032 |
11 | 84157700 |
12 | 467b8800 |
13 | 27a80b46 |
14 | 1796d612 |
15 | e4e3cdc |
hex | 9baa980 |
163228032 has 144 divisors (see below), whose sum is σ = 516728940. Its totient is φ = 49420800.
The previous prime is 163228007. The next prime is 163228111. The reversal of 163228032 is 230822361.
163228032 is a `hidden beast` number, since 1 + 632 + 28 + 0 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 163227987 and 163228005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138807 + ... + 139977.
Almost surely, 2163228032 is an apocalyptic number.
163228032 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 163228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258364470).
163228032 is an abundant number, since it is smaller than the sum of its proper divisors (353500908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163228032 is a wasteful number, since it uses less digits than its factorization.
163228032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1213 (or 1187 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 163228032 is about 12776.0726359864. The cubic root of 163228032 is about 546.5101700225.
The spelling of 163228032 in words is "one hundred sixty-three million, two hundred twenty-eight thousand, thirty-two".
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