Base | Representation |
---|---|
bin | 1000101110110101011… |
… | …01111111010010011100 |
3 | 1001200102001202112121200 |
4 | 10113122231333102130 |
5 | 14403421142412340 |
6 | 345454525355500 |
7 | 30450554616324 |
oct | 4273255772234 |
9 | 1050361675550 |
10 | 300022232220 |
11 | 106269801737 |
12 | 4a190a08b90 |
13 | 223a4614079 |
14 | 1074208c284 |
15 | 7c0e601330 |
hex | 45dab7f49c |
300022232220 has 144 divisors (see below), whose sum is σ = 948066668640. Its totient is φ = 76731494400.
The previous prime is 300022232197. The next prime is 300022232231. The reversal of 300022232220 is 22232220003.
300022232220 is a `hidden beast` number, since 300 + 0 + 2 + 22 + 322 + 20 = 666.
It is a super-2 number, since 2×3000222322202 (a number of 24 digits) contains 22 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 = 300022232193 and 300022232202.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90900 + ... + 779940.
It is an arithmetic number, because the mean of its divisors is an integer number (6583796310).
Almost surely, 2300022232220 is an apocalyptic number.
300022232220 is a gapful number since it is divisible by the number (30) 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 300022232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474033334320).
300022232220 is an abundant number, since it is smaller than the sum of its proper divisors (648044436420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300022232220 is a wasteful number, since it uses less digits than its factorization.
300022232220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 689156 (or 689151 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
Adding to 300022232220 its reverse (22232220003), we get a palindrome (322254452223).
The spelling of 300022232220 in words is "three hundred billion, twenty-two million, two hundred thirty-two thousand, two hundred twenty".
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