| Base | Representation |
|---|---|
| bin | 11010111011111… |
| … | …10110101100000 |
| 3 | 120202012010110100 |
| 4 | 31131332311200 |
| 5 | 430321311420 |
| 6 | 34231102400 |
| 7 | 5412441210 |
| oct | 1535766540 |
| 9 | 522163410 |
| 10 | 225963360 |
| 11 | 106606687 |
| 12 | 63811a00 |
| 13 | 37a77b3c |
| 14 | 22020240 |
| 15 | 14c87190 |
| hex | d77ed60 |
225963360 has 288 divisors, whose sum is σ = 912824640. Its totient is φ = 49803264.
The previous prime is 225963347. The next prime is 225963373. The reversal of 225963360 is 63369522.
225963360 is a `hidden beast` number, since 2 + 2 + 596 + 3 + 3 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (225963347) and next prime (225963373).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291934 + ... + 292706.
It is an arithmetic number, because the mean of its divisors is an integer number (3169530).
Almost surely, 2225963360 is an apocalyptic number.
225963360 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 225963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456412320).
225963360 is an abundant number, since it is smaller than the sum of its proper divisors (686861280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225963360 is a wasteful number, since it uses less digits than its factorization.
225963360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 830 (or 819 counting only the distinct ones).
The product of its (nonzero) digits is 58320, while the sum is 36.
The square root of 225963360 is about 15032.0777007039. The cubic root of 225963360 is about 609.0870154810.
The spelling of 225963360 in words is "two hundred twenty-five million, nine hundred sixty-three thousand, three hundred sixty".
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