| Base | Representation |
|---|---|
| bin | 100001101000000… |
| … | …011100000000000 |
| 3 | 1110022112200212200 |
| 4 | 201220003200000 |
| 5 | 2123410220344 |
| 6 | 131551353200 |
| 7 | 16660116003 |
| oct | 4150034000 |
| 9 | 1408480780 |
| 10 | 564148224 |
| 11 | 26a4a0a02 |
| 12 | 138b22800 |
| 13 | 8cb55223 |
| 14 | 54cd353a |
| 15 | 347da069 |
| hex | 21a03800 |
564148224 has 144 divisors (see below), whose sum is σ = 1649007360. Its totient is φ = 185794560.
The previous prime is 564148219. The next prime is 564148229. The reversal of 564148224 is 422841465.
564148224 is a `hidden beast` number, since 5 + 641 + 4 + 8 + 2 + 2 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (564148219) and next prime (564148229).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (564148229) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2340744 + ... + 2340984.
It is an arithmetic number, because the mean of its divisors is an integer number (11451440).
Almost surely, 2564148224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 564148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824503680).
564148224 is an abundant number, since it is smaller than the sum of its proper divisors (1084859136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
564148224 is a wasteful number, since it uses less digits than its factorization.
564148224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 396 (or 373 counting only the distinct ones).
The product of its digits is 61440, while the sum is 36.
The square root of 564148224 is about 23751.8046472263. The cubic root of 564148224 is about 826.2872949980.
Adding to 564148224 its reverse (422841465), we get a palindrome (986989689).
The spelling of 564148224 in words is "five hundred sixty-four million, one hundred forty-eight thousand, two hundred twenty-four".
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