Base | Representation |
---|---|
bin | 100000010110101000110… |
… | …111100001101101101011 |
3 | 21212112210202221022221000 |
4 | 200112220313201231223 |
5 | 242411340243022311 |
6 | 4421215000050043 |
7 | 316426135361424 |
oct | 40265067415553 |
9 | 7775722838830 |
10 | 2223331220331 |
11 | 787a0056a161 |
12 | 2baa91163923 |
13 | 131875451a60 |
14 | 7987743c64b |
15 | 3cc7988b056 |
hex | 205a8de1b6b |
2223331220331 has 128 divisors (see below), whose sum is σ = 3986854502400. Its totient is φ = 1210999870080.
The previous prime is 2223331220321. The next prime is 2223331220339. The reversal of 2223331220331 is 1330221333222.
2223331220331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 2223331220331 - 219 = 2223330696043 is a prime.
It is a super-2 number, since 2×22233312203312 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2223331220295 and 2223331220304.
It is not an unprimeable number, because it can be changed into a prime (2223331220339) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6427096 + ... + 6764186.
It is an arithmetic number, because the mean of its divisors is an integer number (31147300800).
Almost surely, 22223331220331 is an apocalyptic number.
2223331220331 is a deficient number, since it is larger than the sum of its proper divisors (1763523282069).
2223331220331 is a wasteful number, since it uses less digits than its factorization.
2223331220331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 337198 (or 337192 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 2223331220331 its reverse (1330221333222), we get a palindrome (3553552553553).
The spelling of 2223331220331 in words is "two trillion, two hundred twenty-three billion, three hundred thirty-one million, two hundred twenty thousand, three hundred thirty-one".
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