Base | Representation |
---|---|
bin | 1101000101111111011… |
… | …1101100110000000000 |
3 | 210111121220222012000100 |
4 | 3101133313230300000 |
5 | 12141142331024003 |
6 | 251201125122400 |
7 | 22152250465062 |
oct | 3213767546000 |
9 | 714556865010 |
10 | 224946736128 |
11 | 874436282a4 |
12 | 3771a259400 |
13 | 1829b7c67ba |
14 | ac5d361732 |
15 | 5cb8624ba3 |
hex | 345fdecc00 |
224946736128 has 66 divisors (see below), whose sum is σ = 649528845524. Its totient is φ = 74982242304.
The previous prime is 224946736121. The next prime is 224946736151. The reversal of 224946736128 is 821637649422.
It is a happy number.
224946736128 is a `hidden beast` number, since 2 + 2 + 494 + 6 + 73 + 61 + 28 = 666.
224946736128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (224946736121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12194926 + ... + 12213357.
Almost surely, 2224946736128 is an apocalyptic number.
It is an amenable number.
224946736128 is an abundant number, since it is smaller than the sum of its proper divisors (424582109396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224946736128 is a wasteful number, since it uses less digits than its factorization.
224946736128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24408309 (or 24408288 counting only the distinct ones).
The product of its digits is 6967296, while the sum is 54.
The spelling of 224946736128 in words is "two hundred twenty-four billion, nine hundred forty-six million, seven hundred thirty-six thousand, one hundred twenty-eight".
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