Base | Representation |
---|---|
bin | 1000010110100110… |
… | …1100100100000000 |
3 | 12210021021122120002 |
4 | 2011221230210000 |
5 | 14043012101120 |
6 | 1010300135132 |
7 | 106365144152 |
oct | 20551544400 |
9 | 5707248502 |
10 | 2242300160 |
11 | a507a1331 |
12 | 526b374a8 |
13 | 299722139 |
14 | 173b2cad2 |
15 | d1cc5375 |
hex | 85a6c900 |
2242300160 has 72 divisors (see below), whose sum is σ = 5398612800. Its totient is φ = 892311552.
The previous prime is 2242300157. The next prime is 2242300169. The reversal of 2242300160 is 610032422.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (2242300169) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250319 + ... + 259121.
Almost surely, 22242300160 is an apocalyptic number.
2242300160 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 2242300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699306400).
2242300160 is an abundant number, since it is smaller than the sum of its proper divisors (3156312640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242300160 is an equidigital number, since it uses as much as digits as its factorization.
2242300160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9023 (or 9009 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 2242300160 is about 47352.9319050046. The cubic root of 2242300160 is about 1308.8742265756.
Adding to 2242300160 its reverse (610032422), we get a palindrome (2852332582).
The spelling of 2242300160 in words is "two billion, two hundred forty-two million, three hundred thousand, one hundred sixty".
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