| Base | Representation |
|---|---|
| bin | 100100011101010… |
| … | …1001100100000000 |
| 3 | 10011020220210222000 |
| 4 | 1020322221210000 |
| 5 | 10001133143034 |
| 6 | 321220144000 |
| 7 | 42213111564 |
| oct | 11072514400 |
| 9 | 3136823860 |
| 10 | 1223334144 |
| 11 | 5785a405a |
| 12 | 2a1838000 |
| 13 | 1665a4376 |
| 14 | b86856a4 |
| 15 | 725e9599 |
| hex | 48ea9900 |
1223334144 has 288 divisors, whose sum is σ = 3973536000. Its totient is φ = 369524736.
The previous prime is 1223334137. The next prime is 1223334157. The reversal of 1223334144 is 4414333221.
1223334144 is a `hidden beast` number, since 12 + 233 + 3 + 414 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×12233341443 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
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 31 ways as a sum of consecutive naturals, for example, 3407437 + ... + 3407795.
It is an arithmetic number, because the mean of its divisors is an integer number (13797000).
Almost surely, 21223334144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1223334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986768000).
1223334144 is an abundant number, since it is smaller than the sum of its proper divisors (2750201856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223334144 is a wasteful number, since it uses less digits than its factorization.
1223334144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 430 (or 410 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
The square root of 1223334144 is about 34976.1939610358. The cubic root of 1223334144 is about 1069.5022414774.
Adding to 1223334144 its reverse (4414333221), we get a palindrome (5637667365).
The spelling of 1223334144 in words is "one billion, two hundred twenty-three million, three hundred thirty-four thousand, one hundred forty-four".
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