| Base | Representation |
|---|---|
| bin | 1101000111110111100… |
| … | …0011110110101100000 |
| 3 | 210112221000102201211200 |
| 4 | 3101331320132311200 |
| 5 | 12143210231222020 |
| 6 | 251323113241200 |
| 7 | 22200603400140 |
| oct | 3217570366540 |
| 9 | 715830381750 |
| 10 | 225450257760 |
| 11 | 8768187a582 |
| 12 | 3783aa03200 |
| 13 | 1834bc127b0 |
| 14 | acaa192920 |
| 15 | 5ce7936590 |
| hex | 347de1ed60 |
225450257760 has 2304 divisors, whose sum is σ = 1082067517440. Its totient is φ = 41385738240.
The previous prime is 225450257759. The next prime is 225450257761. The reversal of 225450257760 is 67752054522.
225450257760 is a `hidden beast` number, since 2 + 25 + 4 + 50 + 2 + 577 + 6 + 0 = 666.
225450257760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (225450257759) and next prime (225450257761).
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 (225450257761) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1775198817 + ... + 1775198943.
It is an arithmetic number, because the mean of its divisors is an integer number (469647360).
Almost surely, 2225450257760 is an apocalyptic number.
225450257760 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 225450257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541033758720).
225450257760 is an abundant number, since it is smaller than the sum of its proper divisors (856617259680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225450257760 is a wasteful number, since it uses less digits than its factorization.
225450257760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 241 (or 230 counting only the distinct ones).
The product of its (nonzero) digits is 1176000, while the sum is 45.
The spelling of 225450257760 in words is "two hundred twenty-five billion, four hundred fifty million, two hundred fifty-seven thousand, seven hundred sixty".
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