Base | Representation |
---|---|
bin | 101100101011… |
… | …0011101000000 |
3 | 1122002000000112 |
4 | 1121112131000 |
5 | 21444012114 |
6 | 2154010452 |
7 | 403043000 |
oct | 131263500 |
9 | 48060015 |
10 | 23422784 |
11 | 12248980 |
12 | 7a16a28 |
13 | 4b11348 |
14 | 317a000 |
15 | 20ca13e |
hex | 1656740 |
23422784 has 112 divisors (see below), whose sum is σ = 59740800. Its totient is φ = 9031680.
The previous prime is 23422783. The next prime is 23422793. The reversal of 23422784 is 48722432.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 23422784.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23422783) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241424 + ... + 241520.
It is an arithmetic number, because the mean of its divisors is an integer number (533400).
Almost surely, 223422784 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 23422784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870400).
23422784 is an abundant number, since it is smaller than the sum of its proper divisors (36318016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23422784 is an equidigital number, since it uses as much as digits as its factorization.
23422784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141 (or 117 counting only the distinct ones).
The product of its digits is 21504, while the sum is 32.
The square root of 23422784 is about 4839.7090821660. The cubic root of 23422784 is about 286.1186525789.
The spelling of 23422784 in words is "twenty-three million, four hundred twenty-two thousand, seven hundred eighty-four".
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