Base | Representation |
---|---|
bin | 1000100100011111… |
… | …1010000000110100 |
3 | 12221022220002222202 |
4 | 2021013322000310 |
5 | 14202420114340 |
6 | 1020140444032 |
7 | 111003235262 |
oct | 21107720064 |
9 | 5838802882 |
10 | 2300551220 |
11 | a80668200 |
12 | 542549618 |
13 | 2a8809016 |
14 | 17b773432 |
15 | d6e7ec15 |
hex | 891fa034 |
2300551220 has 72 divisors (see below), whose sum is σ = 5454013992. Its totient is φ = 813922560.
The previous prime is 2300551219. The next prime is 2300551229. The reversal of 2300551220 is 221550032.
It can be written as a sum of positive squares in 4 ways, for example, as 1121178256 + 1179372964 = 33484^2 + 34342^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2300551192 and 2300551201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2300551229) 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, 76694 + ... + 102386.
Almost surely, 22300551220 is an apocalyptic number.
2300551220 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 2300551220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727006996).
2300551220 is an abundant number, since it is smaller than the sum of its proper divisors (3153462772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300551220 is a wasteful number, since it uses less digits than its factorization.
2300551220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25761 (or 25748 counting only the distinct ones).
The product of its (nonzero) digits is 600, while the sum is 20.
The square root of 2300551220 is about 47964.0617546096. The cubic root of 2300551220 is about 1320.1115646445. Note that the first 3 decimals are identical.
The spelling of 2300551220 in words is "two billion, three hundred million, five hundred fifty-one thousand, two hundred twenty".
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