Base | Representation |
---|---|
bin | 1101001010110100101… |
… | …1101001001000000000 |
3 | 210121222022122100120200 |
4 | 3102231023221020000 |
5 | 12201321403403132 |
6 | 251533542005200 |
7 | 22226350440000 |
oct | 3225513511000 |
9 | 717868570520 |
10 | 226243809792 |
11 | 87a49806a00 |
12 | 37a20716800 |
13 | 18447448800 |
14 | ad43720000 |
15 | 5d42437d7c |
hex | 34ad2e9200 |
226243809792 has 1350 divisors, whose sum is σ = 906639895161. Its totient is φ = 54244270080.
The previous prime is 226243809791. The next prime is 226243809793. The reversal of 226243809792 is 297908342622.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
226243809792 is a `hidden beast` number, since 2 + 2 + 624 + 3 + 8 + 0 + 9 + 7 + 9 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (226243809791) and next prime (226243809793).
It can be written as a sum of positive squares in 2 ways, for example, as 193445150976 + 32798658816 = 439824^2 + 181104^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=336336.
It is a super-2 number, since 2×2262438097922 (a number of 24 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (226243809791) by changing a digit.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17403369978 + ... + 17403369990.
Almost surely, 2226243809792 is an apocalyptic number.
226243809792 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 226243809792
226243809792 is an abundant number, since it is smaller than the sum of its proper divisors (680396085369).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226243809792 is an equidigital number, since it uses as much as digits as its factorization.
226243809792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 5225472, while the sum is 54.
The spelling of 226243809792 in words is "two hundred twenty-six billion, two hundred forty-three million, eight hundred nine thousand, seven hundred ninety-two".
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