Base | Representation |
---|---|
bin | 11010100111110… |
… | …01111110010000 |
3 | 120120012221012012 |
4 | 31103321332100 |
5 | 424132301000 |
6 | 34054322052 |
7 | 5351130356 |
oct | 1523717620 |
9 | 516187165 |
10 | 223322000 |
11 | 105072140 |
12 | 62959328 |
13 | 373617c5 |
14 | 219337d6 |
15 | 14914735 |
hex | d4f9f90 |
223322000 has 80 divisors (see below), whose sum is σ = 589140864. Its totient is φ = 81200000.
The previous prime is 223321997. The next prime is 223322003. The reversal of 223322000 is 223322.
It is an interprime number because it is at equal distance from previous prime (223321997) and next prime (223322003).
It is a tau number, because it is divible by the number of its divisors (80).
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223322003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16925 + ... + 27075.
Almost surely, 2223322000 is an apocalyptic number.
223322000 is a gapful number since it is divisible by the number (20) 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 223322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294570432).
223322000 is an abundant number, since it is smaller than the sum of its proper divisors (365818864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223322000 is a wasteful number, since it uses less digits than its factorization.
223322000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10185 (or 10169 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 223322000 is about 14943.9619913864. The cubic root of 223322000 is about 606.7044348476.
Adding to 223322000 its reverse (223322), we get a palindrome (223545322).
223322000 divided by its reverse (223322) gives a cube (1000 = 103).
It can be divided in two parts, 223 and 322000, that added together give a palindrome (322223).
The spelling of 223322000 in words is "two hundred twenty-three million, three hundred twenty-two thousand".
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