| Base | Representation |
|---|---|
| bin | 11010111000110… |
| … | …11110010001000 |
| 3 | 120201102111220200 |
| 4 | 31130123302020 |
| 5 | 430220321030 |
| 6 | 34214252200 |
| 7 | 5406131310 |
| oct | 1534336210 |
| 9 | 521374820 |
| 10 | 225557640 |
| 11 | 106359880 |
| 12 | 63657060 |
| 13 | 37965279 |
| 14 | 21d56440 |
| 15 | 14c06d60 |
| hex | d71bc88 |
225557640 has 384 divisors, whose sum is σ = 934502400. Its totient is φ = 45826560.
The previous prime is 225557639. The next prime is 225557659. The reversal of 225557640 is 46755522.
225557640 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 5 + 7 + 640 = 666.
225557640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 225557595 and 225557604.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2189829 + ... + 2189931.
It is an arithmetic number, because the mean of its divisors is an integer number (2433600).
Almost surely, 2225557640 is an apocalyptic number.
225557640 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 225557640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467251200).
225557640 is an abundant number, since it is smaller than the sum of its proper divisors (708944760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225557640 is a wasteful number, since it uses less digits than its factorization.
225557640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 217 (or 210 counting only the distinct ones).
The product of its (nonzero) digits is 84000, while the sum is 36.
The square root of 225557640 is about 15018.5764971252. The cubic root of 225557640 is about 608.7222560008.
It can be divided in two parts, 2255 and 57640, that added together give a palindrome (59895).
The spelling of 225557640 in words is "two hundred twenty-five million, five hundred fifty-seven thousand, six hundred forty".
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