| Base | Representation |
|---|---|
| bin | 1101000011010010111… |
| … | …1011001110100000000 |
| 3 | 210102202111101202021020 |
| 4 | 3100310233121310000 |
| 5 | 12133202111003440 |
| 6 | 251001240025440 |
| 7 | 22125313152456 |
| oct | 3206457316400 |
| 9 | 712674352236 |
| 10 | 224223141120 |
| 11 | 871021326a0 |
| 12 | 37557a62280 |
| 13 | 181b4915884 |
| 14 | abd12049d6 |
| 15 | 5c74d413d0 |
| hex | 3434bd9d00 |
224223141120 has 288 divisors, whose sum is σ = 782246191104. Its totient is φ = 54285312000.
The previous prime is 224223141113. The next prime is 224223141161. The reversal of 224223141120 is 21141322422.
224223141120 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 3×2242231411203 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36450045 + ... + 36456195.
It is an arithmetic number, because the mean of its divisors is an integer number (2716132608).
Almost surely, 2224223141120 is an apocalyptic number.
224223141120 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 224223141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391123095552).
224223141120 is an abundant number, since it is smaller than the sum of its proper divisors (558023049984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224223141120 is a wasteful number, since it uses less digits than its factorization.
224223141120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7049 (or 7035 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
Adding to 224223141120 its reverse (21141322422), we get a palindrome (245364463542).
The spelling of 224223141120 in words is "two hundred twenty-four billion, two hundred twenty-three million, one hundred forty-one thousand, one hundred twenty".
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