| Base | Representation |
|---|---|
| bin | 1100110100100000011… |
| … | …1000011010100000000 |
| 3 | 210001111211010210212000 |
| 4 | 3031020013003110000 |
| 5 | 12102034300441344 |
| 6 | 245103301104000 |
| 7 | 21625035542025 |
| oct | 3151007032400 |
| 9 | 701454123760 |
| 10 | 220253140224 |
| 11 | 85455179217 |
| 12 | 3682a3b8000 |
| 13 | 17a01298910 |
| 14 | a935c5d54c |
| 15 | 5ae1544a69 |
| hex | 33481c3500 |
220253140224 has 576 divisors, whose sum is σ = 775104422400. Its totient is φ = 61000777728.
The previous prime is 220253140187. The next prime is 220253140243. The reversal of 220253140224 is 422041352022.
220253140224 is a `hidden beast` number, since 2 + 2 + 0 + 253 + 1 + 402 + 2 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×2202531402242 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35130562 + ... + 35136830.
It is an arithmetic number, because the mean of its divisors is an integer number (1345667400).
Almost surely, 2220253140224 is an apocalyptic number.
220253140224 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 220253140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387552211200).
220253140224 is an abundant number, since it is smaller than the sum of its proper divisors (554851282176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220253140224 is a wasteful number, since it uses less digits than its factorization.
220253140224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6347 (or 6327 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
Adding to 220253140224 its reverse (422041352022), we get a palindrome (642294492246).
The spelling of 220253140224 in words is "two hundred twenty billion, two hundred fifty-three million, one hundred forty thousand, two hundred twenty-four".
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