Base | Representation |
---|---|
bin | 1000010010000111… |
… | …0000100101111100 |
3 | 12201221210120102211 |
4 | 2010201300211330 |
5 | 14023200123200 |
6 | 1004344030204 |
7 | 106045643032 |
oct | 20441604574 |
9 | 5657716384 |
10 | 2223442300 |
11 | a41091122 |
12 | 520762364 |
13 | 29584b841 |
14 | 171420552 |
15 | d02ecaba |
hex | 8487097c |
2223442300 has 72 divisors (see below), whose sum is σ = 4966400880. Its totient is φ = 863500800.
The previous prime is 2223442297. The next prime is 2223442303. The reversal of 2223442300 is 32443222.
It is an interprime number because it is at equal distance from previous prime (2223442297) and next prime (2223442303).
It is a super-2 number, since 2×22234423002 = 9887391322858580000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2223442303) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929506 + ... + 931894.
It is an arithmetic number, because the mean of its divisors is an integer number (68977790).
Almost surely, 22223442300 is an apocalyptic number.
2223442300 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 2223442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483200440).
2223442300 is an abundant number, since it is smaller than the sum of its proper divisors (2742958580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2223442300 is a wasteful number, since it uses less digits than its factorization.
2223442300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2671 (or 2664 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 2223442300 is about 47153.3911823954. The cubic root of 2223442300 is about 1305.1946588463.
Adding to 2223442300 its reverse (32443222), we get a palindrome (2255885522).
The spelling of 2223442300 in words is "two billion, two hundred twenty-three million, four hundred forty-two thousand, three hundred".
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