| Base | Representation |
|---|---|
| bin | 11010100110001… |
| … | …00000011011000 |
| 3 | 120112210201020100 |
| 4 | 31103010003120 |
| 5 | 424103214034 |
| 6 | 34045455400 |
| 7 | 5346220440 |
| oct | 1523040330 |
| 9 | 515721210 |
| 10 | 223101144 |
| 11 | 104a31212 |
| 12 | 62871560 |
| 13 | 372b5116 |
| 14 | 218b7120 |
| 15 | 148be099 |
| hex | d4c40d8 |
223101144 has 96 divisors (see below), whose sum is σ = 692640000. Its totient is φ = 63550656.
The previous prime is 223101119. The next prime is 223101161. The reversal of 223101144 is 441101322.
It is a super-3 number, since 3×2231011443 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301527 + ... + 302265.
It is an arithmetic number, because the mean of its divisors is an integer number (7215000).
Almost surely, 2223101144 is an apocalyptic number.
223101144 is a gapful number since it is divisible by the number (24) 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 223101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346320000).
223101144 is an abundant number, since it is smaller than the sum of its proper divisors (469538856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223101144 is a wasteful number, since it uses less digits than its factorization.
223101144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1357 (or 1350 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 223101144 is about 14936.5706907576. The cubic root of 223101144 is about 606.5043672166.
Subtracting from 223101144 its sum of digits (18), we obtain a triangular number (223101126 = T21123).
Adding to 223101144 its reverse (441101322), we get a palindrome (664202466).
The spelling of 223101144 in words is "two hundred twenty-three million, one hundred one thousand, one hundred forty-four".
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