Base | Representation |
---|---|
bin | 1101010100111110111… |
… | …1001100011100000000 |
3 | 210220000101101221000000 |
4 | 3111033233030130000 |
5 | 12222413041212324 |
6 | 253104324000000 |
7 | 22354054500000 |
oct | 3251757143400 |
9 | 726011357000 |
10 | 228971038464 |
11 | 891192001a3 |
12 | 38461b30000 |
13 | 1879047699c |
14 | b121a00000 |
15 | 5e51a9a9c9 |
hex | 354fbcc700 |
228971038464 has 756 divisors, whose sum is σ = 810412404816. Its totient is φ = 64524128256.
The previous prime is 228971038447. The next prime is 228971038519. The reversal of 228971038464 is 464830179822.
228971038464 is a `hidden beast` number, since 2 + 2 + 89 + 71 + 0 + 38 + 464 = 666.
228971038464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (756).
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 228971038464.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3136589532 + ... + 3136589604.
Almost surely, 2228971038464 is an apocalyptic number.
228971038464 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 228971038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405206202408).
228971038464 is an abundant number, since it is smaller than the sum of its proper divisors (581441366352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228971038464 is an frugal number, since it uses more digits than its factorization.
228971038464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 4644864, while the sum is 54.
The spelling of 228971038464 in words is "two hundred twenty-eight billion, nine hundred seventy-one million, thirty-eight thousand, four hundred sixty-four".
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