| Base | Representation |
|---|---|
| bin | 1101000010111010110… |
| … | …0111001001110000000 |
| 3 | 210102111102202002212100 |
| 4 | 3100232230321032000 |
| 5 | 12133000141220112 |
| 6 | 250543220230400 |
| 7 | 22122643015635 |
| oct | 3205654711600 |
| 9 | 712442662770 |
| 10 | 224121820032 |
| 11 | 8705aa19660 |
| 12 | 37529b3b400 |
| 13 | 1819992b976 |
| 14 | abc198c18c |
| 15 | 5c6aeca2dc |
| hex | 342eb39380 |
224121820032 has 192 divisors, whose sum is σ = 705796331760. Its totient is φ = 67700244480.
The previous prime is 224121820031. The next prime is 224121820051. The reversal of 224121820032 is 230028121422.
224121820032 is a `hidden beast` number, since 2 + 2 + 412 + 18 + 200 + 32 = 666.
224121820032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a junction number, because it is equal to n+sod(n) for n = 224121819978 and 224121820005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (224121820031) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 3989128 + ... + 4044920.
Almost surely, 2224121820032 is an apocalyptic number.
224121820032 is a gapful number since it is divisible by the number (22) 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 224121820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352898165880).
224121820032 is an abundant number, since it is smaller than the sum of its proper divisors (481674511728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224121820032 is a wasteful number, since it uses less digits than its factorization.
224121820032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56141 (or 56126 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
Adding to 224121820032 its reverse (230028121422), we get a palindrome (454149941454).
The spelling of 224121820032 in words is "two hundred twenty-four billion, one hundred twenty-one million, eight hundred twenty thousand, thirty-two".
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