| Base | Representation |
|---|---|
| bin | 11010111010101… |
| … | …00100000100000 |
| 3 | 120201212022122000 |
| 4 | 31131110200200 |
| 5 | 430300234414 |
| 6 | 34223244000 |
| 7 | 5411116560 |
| oct | 1535244040 |
| 9 | 521768560 |
| 10 | 225789984 |
| 11 | 1064a83a2 |
| 12 | 63749600 |
| 13 | 37a16c54 |
| 14 | 21db6da0 |
| 15 | 14c50b09 |
| hex | d754820 |
225789984 has 192 divisors, whose sum is σ = 773740800. Its totient is φ = 62705664.
The previous prime is 225789983. The next prime is 225789989. The reversal of 225789984 is 489987522.
It is a super-2 number, since 2×2257899842 = 101962233749440512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 225789984.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225789983) 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 31 ways as a sum of consecutive naturals, for example, 223272 + ... + 224280.
It is an arithmetic number, because the mean of its divisors is an integer number (4029900).
Almost surely, 2225789984 is an apocalyptic number.
225789984 is a gapful number since it is divisible by the number (24) 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 225789984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386870400).
225789984 is an abundant number, since it is smaller than the sum of its proper divisors (547950816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225789984 is a wasteful number, since it uses less digits than its factorization.
225789984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).
The product of its digits is 2903040, while the sum is 54.
The square root of 225789984 is about 15026.3097266095. The cubic root of 225789984 is about 608.9311965756.
The spelling of 225789984 in words is "two hundred twenty-five million, seven hundred eighty-nine thousand, nine hundred eighty-four".
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