Base | Representation |
---|---|
bin | 11010100110010… |
… | …00111011001100 |
3 | 120112211201121110 |
4 | 31103020323030 |
5 | 424104333400 |
6 | 34050132020 |
7 | 5346332556 |
oct | 1523107314 |
9 | 515751543 |
10 | 223121100 |
11 | 104a45204 |
12 | 62881010 |
13 | 372c1227 |
14 | 218c04d6 |
15 | 148c4e50 |
hex | d4c8ecc |
223121100 has 72 divisors (see below), whose sum is σ = 663044368. Its totient is φ = 57888000.
The previous prime is 223121081. The next prime is 223121117. The reversal of 223121100 is 1121322.
223121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231211003 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
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, 1050 + ... + 21150.
Almost surely, 2223121100 is an apocalyptic number.
223121100 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 223121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331522184).
223121100 is an abundant number, since it is smaller than the sum of its proper divisors (439923268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223121100 is a wasteful number, since it uses less digits than its factorization.
223121100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20155 (or 20148 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 223121100 is about 14937.2387006434. The cubic root of 223121100 is about 606.5224502559.
Adding to 223121100 its reverse (1121322), we get a palindrome (224242422).
The spelling of 223121100 in words is "two hundred twenty-three million, one hundred twenty-one thousand, one hundred".
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