Base | Representation |
---|---|
bin | 1000010010000000… |
… | …0101011001010110 |
3 | 12201220222021010200 |
4 | 2010200011121112 |
5 | 14023042100342 |
6 | 1004330401330 |
7 | 106042133646 |
oct | 20440053126 |
9 | 5656867120 |
10 | 2223003222 |
11 | a40911250 |
12 | 520590246 |
13 | 295726a2b |
14 | 171348526 |
15 | d026294c |
hex | 84805656 |
2223003222 has 48 divisors (see below), whose sum is σ = 5482833408. Its totient is φ = 644347440.
The previous prime is 2223003203. The next prime is 2223003229.
2223003222 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×22230032223 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2223003195 and 2223003204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2223003229) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239518 + ... + 248625.
It is an arithmetic number, because the mean of its divisors is an integer number (114225696).
Almost surely, 22223003222 is an apocalyptic number.
2223003222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2223003222 is an abundant number, since it is smaller than the sum of its proper divisors (3259830186).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2223003222 is a wasteful number, since it uses less digits than its factorization.
2223003222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 488185 (or 488182 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 2223003222 is about 47148.7351049845. The cubic root of 2223003222 is about 1305.1087380216.
It can be divided in two parts, 222300 and 3222, that added together give a palindrome (225522).
The spelling of 2223003222 in words is "two billion, two hundred twenty-three million, three thousand, two hundred twenty-two".
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