Base | Representation |
---|---|
bin | 1000001111111101… |
… | …0011100010110100 |
3 | 12201022210201000202 |
4 | 2003333103202310 |
5 | 14013342113140 |
6 | 1003422300032 |
7 | 105606115025 |
oct | 20377234264 |
9 | 5638721022 |
10 | 2214410420 |
11 | a36a82362 |
12 | 519727618 |
13 | 293a08831 |
14 | 17014cc4c |
15 | ce616915 |
hex | 83fd38b4 |
2214410420 has 96 divisors (see below), whose sum is σ = 4934563200. Its totient is φ = 833462784.
The previous prime is 2214410411. The next prime is 2214410441. The reversal of 2214410420 is 240144122.
It is a super-2 number, since 2×22144104202 = 9807227016409152800, which contains 22 as substring.
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 = 2214410392 and 2214410401.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5577662 + ... + 5578058.
It is an arithmetic number, because the mean of its divisors is an integer number (51401700).
Almost surely, 22214410420 is an apocalyptic number.
2214410420 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 2214410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467281600).
2214410420 is an abundant number, since it is smaller than the sum of its proper divisors (2720152780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2214410420 is a wasteful number, since it uses less digits than its factorization.
2214410420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 657 (or 655 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 2214410420 is about 47057.5224592201. The cubic root of 2214410420 is about 1303.4249765311.
Adding to 2214410420 its reverse (240144122), we get a palindrome (2454554542).
The spelling of 2214410420 in words is "two billion, two hundred fourteen million, four hundred ten thousand, four hundred twenty".
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