Base | Representation |
---|---|
bin | 10100110001001100… |
… | …001011100110100000 |
3 | 2010120010121010112200 |
4 | 110301030023212200 |
5 | 331132312111222 |
6 | 14124452453200 |
7 | 1416421556421 |
oct | 246114134640 |
9 | 63503533480 |
10 | 22300113312 |
11 | 9503918214 |
12 | 43a431a200 |
13 | 214508c529 |
14 | 1117983648 |
15 | 8a7b60eac |
hex | 53130b9a0 |
22300113312 has 288 divisors, whose sum is σ = 68474585088. Its totient is φ = 6867091968.
The previous prime is 22300113259. The next prime is 22300113347. The reversal of 22300113312 is 21331100322.
22300113312 is a `hidden beast` number, since 22 + 300 + 11 + 331 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25839793 + ... + 25840655.
It is an arithmetic number, because the mean of its divisors is an integer number (237758976).
Almost surely, 222300113312 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 22300113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34237292544).
22300113312 is an abundant number, since it is smaller than the sum of its proper divisors (46174471776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22300113312 is a wasteful number, since it uses less digits than its factorization.
22300113312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1032 (or 1021 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 22300113312 its reverse (21331100322), we get a palindrome (43631213634).
The spelling of 22300113312 in words is "twenty-two billion, three hundred million, one hundred thirteen thousand, three hundred twelve".
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