Base | Representation |
---|---|
bin | 1000100100111100… |
… | …0010010111010000 |
3 | 12221110102002001211 |
4 | 2021033002113100 |
5 | 14203404423212 |
6 | 1020244505504 |
7 | 111025152004 |
oct | 21117022720 |
9 | 5843362054 |
10 | 2302420432 |
11 | a81724604 |
12 | 5430ab294 |
13 | 2a9011a70 |
14 | 17badc704 |
15 | d71ed9a7 |
hex | 893c25d0 |
2302420432 has 80 divisors (see below), whose sum is σ = 5262319440. Its totient is φ = 965615616.
The previous prime is 2302420411. The next prime is 2302420441. The reversal of 2302420432 is 2340242032.
It can be written as a sum of positive squares in 8 ways, for example, as 154654096 + 2147766336 = 12436^2 + 46344^2 .
It is a super-2 number, since 2×23024204322 = 10602279691382133248, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 91318 + ... + 113770.
It is an arithmetic number, because the mean of its divisors is an integer number (65778993).
Almost surely, 22302420432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2302420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631159720).
2302420432 is an abundant number, since it is smaller than the sum of its proper divisors (2959899008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2302420432 is a wasteful number, since it uses less digits than its factorization.
2302420432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22520 (or 22514 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 2302420432 is about 47983.5433456096. The cubic root of 2302420432 is about 1320.4690007745.
Adding to 2302420432 its reverse (2340242032), we get a palindrome (4642662464).
The spelling of 2302420432 in words is "two billion, three hundred two million, four hundred twenty thousand, four hundred thirty-two".
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