Base | Representation |
---|---|
bin | 1010100011111000100101… |
… | …00110011000001101100000 |
3 | 10001020010010202022202101200 |
4 | 11101330102212120031200 |
5 | 11020442103224020000 |
6 | 121220331345001200 |
7 | 4614551356604244 |
oct | 521742246301540 |
9 | 101203122282350 |
10 | 23223200220000 |
11 | 74439a4107650 |
12 | 273098a923200 |
13 | cc5c27825421 |
14 | 5a401a562424 |
15 | 2a414e70d500 |
hex | 151f12998360 |
23223200220000 has 1440 divisors, whose sum is σ = 92822774204160. Its totient is φ = 5456263680000.
The previous prime is 23223200219969. The next prime is 23223200220041. The reversal of 23223200220000 is 2200232232.
23223200220000 is a `hidden beast` number, since 2 + 322 + 320 + 0 + 2 + 20 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 239 ways as a sum of consecutive naturals, for example, 26300339559 + ... + 26300340441.
It is an arithmetic number, because the mean of its divisors is an integer number (64460259864).
Almost surely, 223223200220000 is an apocalyptic number.
23223200220000 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 23223200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46411387102080).
23223200220000 is an abundant number, since it is smaller than the sum of its proper divisors (69599573984160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23223200220000 is a wasteful number, since it uses less digits than its factorization.
23223200220000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1326 (or 1300 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
Adding to 23223200220000 its reverse (2200232232), we get a palindrome (23225400452232).
The spelling of 23223200220000 in words is "twenty-three trillion, two hundred twenty-three billion, two hundred million, two hundred twenty thousand".
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