Base | Representation |
---|---|
bin | 11010100111000… |
… | …01000100100000 |
3 | 120120000202021102 |
4 | 31103201010200 |
5 | 424121020000 |
6 | 34052213532 |
7 | 5350224113 |
oct | 1523410440 |
9 | 516022242 |
10 | 223220000 |
11 | 105002543 |
12 | 6290a2a8 |
13 | 37327253 |
14 | 2190857a |
15 | 148e43d5 |
hex | d4e1120 |
223220000 has 60 divisors (see below), whose sum is σ = 549203886. Its totient is φ = 89280000.
The previous prime is 223219993. The next prime is 223220003. The reversal of 223220000 is 22322.
It can be written as a sum of positive squares in 5 ways, for example, as 9709456 + 213510544 = 3116^2 + 14612^2 .
It is a super-3 number, since 3×2232200003 (a number of 26 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (223220003) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14420 + ... + 25580.
Almost surely, 2223220000 is an apocalyptic number.
223220000 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 223220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274601943).
223220000 is an abundant number, since it is smaller than the sum of its proper divisors (325983886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223220000 is an equidigital number, since it uses as much as digits as its factorization.
223220000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11191 (or 11168 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 11.
The square root of 223220000 is about 14940.5488520335. The cubic root of 223220000 is about 606.6120521351.
Adding to 223220000 its reverse (22322), we get a palindrome (223242322).
Multiplying 223220000 by its reverse (22322), we get a square (4982716840000 = 22322002).
223220000 divided by its reverse (22322) gives a 4-th power (10000 = 104).
The spelling of 223220000 in words is "two hundred twenty-three million, two hundred twenty thousand".
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