Base | Representation |
---|---|
bin | 11010001111011… |
… | …01000100011100 |
3 | 120100012102120021 |
4 | 31013231010130 |
5 | 422322422140 |
6 | 33502001524 |
7 | 5312006146 |
oct | 1507550434 |
9 | 510172507 |
10 | 220123420 |
11 | 103287a90 |
12 | 618762a4 |
13 | 367b195a |
14 | 2133dc96 |
15 | 144d1b4a |
hex | d1ed11c |
220123420 has 48 divisors (see below), whose sum is σ = 507574368. Its totient is φ = 79522560.
The previous prime is 220123411. The next prime is 220123451. The reversal of 220123420 is 24321022.
220123420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 220123394 and 220123403.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31354 + ... + 37726.
It is an arithmetic number, because the mean of its divisors is an integer number (10574466).
Almost surely, 2220123420 is an apocalyptic number.
220123420 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 220123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253787184).
220123420 is an abundant number, since it is smaller than the sum of its proper divisors (287450948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220123420 is a wasteful number, since it uses less digits than its factorization.
220123420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6550 (or 6548 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 220123420 is about 14836.5568781979. The cubic root of 220123420 is about 603.7939409370.
Adding to 220123420 its reverse (24321022), we get a palindrome (244444442).
The spelling of 220123420 in words is "two hundred twenty million, one hundred twenty-three thousand, four hundred twenty".
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