Base | Representation |
---|---|
bin | 1100111111011111110… |
… | …0101001010000110100 |
3 | 210100010102012110221222 |
4 | 3033313330221100310 |
5 | 12124110004431400 |
6 | 250312123125512 |
7 | 22061116625354 |
oct | 3176774512064 |
9 | 710112173858 |
10 | 223203202100 |
11 | 8672943038a |
12 | 37312373898 |
13 | 18081516c68 |
14 | ab35986b64 |
15 | 5c15522185 |
hex | 33f7f29434 |
223203202100 has 72 divisors (see below), whose sum is σ = 495777518208. Its totient is φ = 87183616000.
The previous prime is 223203202049. The next prime is 223203202111. The reversal of 223203202100 is 1202302322.
223203202100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2232032021003 (a number of 35 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2028500 + ... + 2135700.
It is an arithmetic number, because the mean of its divisors is an integer number (6885798864).
Almost surely, 2223203202100 is an apocalyptic number.
223203202100 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 223203202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247888759104).
223203202100 is an abundant number, since it is smaller than the sum of its proper divisors (272574316108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223203202100 is a wasteful number, since it uses less digits than its factorization.
223203202100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 107705 (or 107698 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
Adding to 223203202100 its reverse (1202302322), we get a palindrome (224405504422).
The spelling of 223203202100 in words is "two hundred twenty-three billion, two hundred three million, two hundred two thousand, one hundred".
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