| Base | Representation |
|---|---|
| bin | 11010111100001… |
| … | …00100000010100 |
| 3 | 120202020022022100 |
| 4 | 31132010200110 |
| 5 | 430323032310 |
| 6 | 34231402100 |
| 7 | 5412566001 |
| oct | 1536044024 |
| 9 | 522208270 |
| 10 | 225986580 |
| 11 | 106622076 |
| 12 | 63823330 |
| 13 | 37a85591 |
| 14 | 220288a8 |
| 15 | 14c8dec0 |
| hex | d784814 |
225986580 has 72 divisors (see below), whose sum is σ = 689080392. Its totient is φ = 59947776.
The previous prime is 225986567. The next prime is 225986587. The reversal of 225986580 is 85689522.
225986580 is a `hidden beast` number, since 2 + 2 + 598 + 6 + 58 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 121088016 + 104898564 = 11004^2 + 10242^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225986587) 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 23 ways as a sum of consecutive naturals, for example, 32274 + ... + 38646.
It is an arithmetic number, because the mean of its divisors is an integer number (9570561).
Almost surely, 2225986580 is an apocalyptic number.
225986580 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 225986580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344540196).
225986580 is an abundant number, since it is smaller than the sum of its proper divisors (463093812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225986580 is a wasteful number, since it uses less digits than its factorization.
225986580 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6585 (or 6580 counting only the distinct ones).
The product of its (nonzero) digits is 345600, while the sum is 45.
The square root of 225986580 is about 15032.8500291861. The cubic root of 225986580 is about 609.1078780316.
The spelling of 225986580 in words is "two hundred twenty-five million, nine hundred eighty-six thousand, five hundred eighty".
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