Base | Representation |
---|---|
bin | 100000010110100111000… |
… | …001001111011001100000 |
3 | 21212112201121120221221011 |
4 | 200112213001033121200 |
5 | 242411304323243240 |
6 | 4421211531310304 |
7 | 316425310664155 |
oct | 40264701173140 |
9 | 7775647527834 |
10 | 2223300212320 |
11 | 787995010400 |
12 | 2baa828ab394 |
13 | 13186bbb6015 |
14 | 7987328a22c |
15 | 3cc76cb36ea |
hex | 205a704f660 |
2223300212320 has 144 divisors (see below), whose sum is σ = 5778685405584. Its totient is φ = 807741158400.
The previous prime is 2223300212303. The next prime is 2223300212363. The reversal of 2223300212320 is 232120033222.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 2223300212291 and 2223300212300.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21573715 + ... + 21676525.
It is an arithmetic number, because the mean of its divisors is an integer number (40129759761).
Almost surely, 22223300212320 is an apocalyptic number.
2223300212320 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 2223300212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889342702792).
2223300212320 is an abundant number, since it is smaller than the sum of its proper divisors (3555385193264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2223300212320 is a wasteful number, since it uses less digits than its factorization.
2223300212320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 103965 (or 103946 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
Adding to 2223300212320 its reverse (232120033222), we get a palindrome (2455420245542).
The spelling of 2223300212320 in words is "two trillion, two hundred twenty-three billion, three hundred million, two hundred twelve thousand, three hundred twenty".
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