Base | Representation |
---|---|
bin | 1100111111111000100… |
… | …1101011100111100100 |
3 | 210100101200001100000000 |
4 | 3033332021223213210 |
5 | 12124313131023131 |
6 | 250330322021300 |
7 | 22063522405104 |
oct | 3177611534744 |
9 | 710350040000 |
10 | 223307282916 |
11 | 86782159893 |
12 | 373411a7830 |
13 | 18099c59043 |
14 | ab4571b204 |
15 | 5c1e730ce6 |
hex | 33fe26b9e4 |
223307282916 has 81 divisors (see below), whose sum is σ = 586352848809. Its totient is φ = 74410243056.
The previous prime is 223307282899. The next prime is 223307282917. The reversal of 223307282916 is 619282703322.
The square root of 223307282916 is 472554.
It is a perfect power (a square), and thus also a powerful number.
223307282916 is a `hidden beast` number, since 2 + 2 + 330 + 7 + 28 + 291 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 223001172900 + 306110016 = 472230^2 + 17496^2 .
It is a tau number, because it is divible by the number of its divisors (81).
It is a super-2 number, since 2×2233072829162 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (223307282917) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76552290 + ... + 76555206.
Almost surely, 2223307282916 is an apocalyptic number.
223307282916 is the 472554-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223307282916
223307282916 is an abundant number, since it is smaller than the sum of its proper divisors (363045565893).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223307282916 is an frugal number, since it uses more digits than its factorization.
223307282916 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5862 (or 2922 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The spelling of 223307282916 in words is "two hundred twenty-three billion, three hundred seven million, two hundred eighty-two thousand, nine hundred sixteen".
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