Base | Representation |
---|---|
bin | 110011010101111000011101… |
… | …101010001100001110000000 |
3 | 1002121111122212112200121000000 |
4 | 303111320131222030032000 |
5 | 214044033303201004024 |
6 | 2120124550354000000 |
7 | 65363544205234341 |
oct | 6325703552141600 |
9 | 1077448775617000 |
10 | 225804108219264 |
11 | 65a47a91430573 |
12 | 213aa422b76000 |
13 | 98cc30b7658c3 |
14 | 3da8d974340c8 |
15 | 1b18a3a438cc9 |
hex | cd5e1da8c380 |
225804108219264 has 896 divisors, whose sum is σ = 708800089743360. Its totient is φ = 71531486208000.
The previous prime is 225804108219257. The next prime is 225804108219269. The reversal of 225804108219264 is 462912801408522.
It is a happy number.
225804108219264 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 0 + 410 + 8 + 219 + 2 + 6 + 4 = 666.
It is a super-2 number, since 2×2258041082192642 (a number of 30 digits) 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 225804108219264.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225804108219269) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 55657899924 + ... + 55657903980.
Almost surely, 2225804108219264 is an apocalyptic number.
225804108219264 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 225804108219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354400044871680).
225804108219264 is an abundant number, since it is smaller than the sum of its proper divisors (482995981524096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225804108219264 is an equidigital number, since it uses as much as digits as its factorization.
225804108219264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4462 (or 4435 counting only the distinct ones).
The product of its (nonzero) digits is 4423680, while the sum is 54.
The spelling of 225804108219264 in words is "two hundred twenty-five trillion, eight hundred four billion, one hundred eight million, two hundred nineteen thousand, two hundred sixty-four".
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