Base | Representation |
---|---|
bin | 11010100111111… |
… | …00011011000000 |
3 | 120120020102221202 |
4 | 31103330123000 |
5 | 424133111112 |
6 | 34054440332 |
7 | 5351201540 |
oct | 1523743300 |
9 | 516212852 |
10 | 223332032 |
11 | 105079730 |
12 | 629630a8 |
13 | 37366241 |
14 | 21937320 |
15 | 149176c2 |
hex | d4fc6c0 |
223332032 has 56 divisors (see below), whose sum is σ = 552541440. Its totient is φ = 87010560.
The previous prime is 223332017. The next prime is 223332071. The reversal of 223332032 is 230233322.
223332032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (56).
It is a junction number, because it is equal to n+sod(n) for n = 223331995 and 223332013.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17732 + ... + 27587.
Almost surely, 2223332032 is an apocalyptic number.
223332032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
223332032 is an abundant number, since it is smaller than the sum of its proper divisors (329209408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223332032 is a wasteful number, since it uses less digits than its factorization.
223332032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45349 (or 45339 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 20.
The square root of 223332032 is about 14944.2976415755. The cubic root of 223332032 is about 606.7135194396.
Adding to 223332032 its reverse (230233322), we get a palindrome (453565354).
The spelling of 223332032 in words is "two hundred twenty-three million, three hundred thirty-two thousand, thirty-two".
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