Base | Representation |
---|---|
bin | 10100111101011010… |
… | …001101000000000000 |
3 | 2011002102100022212210 |
4 | 110331122031000000 |
5 | 332042302200043 |
6 | 14201054422120 |
7 | 1424461220031 |
oct | 247532150000 |
9 | 64072308783 |
10 | 22505115648 |
11 | 95a9607534 |
12 | 4440b01940 |
13 | 21786a86a2 |
14 | 1136ca8a88 |
15 | 8bab57633 |
hex | 53d68d000 |
22505115648 has 104 divisors (see below), whose sum is σ = 60154704000. Its totient is φ = 7483162624.
The previous prime is 22505115641. The next prime is 22505115697. The reversal of 22505115648 is 84651150522.
It is a super-3 number, since 3×225051156483 (a number of 32 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22505115641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5515273 + ... + 5519351.
Almost surely, 222505115648 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22505115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30077352000).
22505115648 is an abundant number, since it is smaller than the sum of its proper divisors (37649588352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22505115648 is an equidigital number, since it uses as much as digits as its factorization.
22505115648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4555 (or 4533 counting only the distinct ones).
The product of its (nonzero) digits is 96000, while the sum is 39.
The spelling of 22505115648 in words is "twenty-two billion, five hundred five million, one hundred fifteen thousand, six hundred forty-eight".
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