| Base | Representation |
|---|---|
| bin | 1001010010111111111111… |
| … | …1000100100100101000000 |
| 3 | 1100012012211011102212112000 |
| 4 | 2110233333320210211000 |
| 5 | 2314434144133422102 |
| 6 | 33423533052504000 |
| 7 | 2103342122142162 |
| oct | 224577770444500 |
| 9 | 40165734385460 |
| 10 | 10222020217152 |
| 11 | 3291152a1a297 |
| 12 | 1191119a7b000 |
| 13 | 591c17557893 |
| 14 | 274a69934932 |
| 15 | 12ad7168b01c |
| hex | 94bffe24940 |
10222020217152 has 448 divisors, whose sum is σ = 31643496702720. Its totient is φ = 3232515686400.
The previous prime is 10222020217151. The next prime is 10222020217163. The reversal of 10222020217152 is 25171202022201.
10222020217152 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-2 number, since 2×102220202171522 (a number of 27 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 not an unprimeable number, because it can be changed into a prime (10222020217151) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424296627 + ... + 424320717.
It is an arithmetic number, because the mean of its divisors is an integer number (70632805140).
Almost surely, 210222020217152 is an apocalyptic number.
10222020217152 is a gapful number since it is divisible by the number (12) 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 10222020217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821748351360).
10222020217152 is an abundant number, since it is smaller than the sum of its proper divisors (21421476485568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222020217152 is a wasteful number, since it uses less digits than its factorization.
10222020217152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24319 (or 24303 counting only the distinct ones).
The product of its (nonzero) digits is 2240, while the sum is 27.
Adding to 10222020217152 its reverse (25171202022201), we get a palindrome (35393222239353).
The spelling of 10222020217152 in words is "ten trillion, two hundred twenty-two billion, twenty million, two hundred seventeen thousand, one hundred fifty-two".
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