Base | Representation |
---|---|
bin | 101001101000… |
… | …0000000000000 |
3 | 1112001202012100 |
4 | 1103100000000 |
5 | 21041322423 |
6 | 2055430400 |
7 | 353332221 |
oct | 123200000 |
9 | 45052170 |
10 | 21823488 |
11 | 11356345 |
12 | 7385400 |
13 | 46a140b |
14 | 2c81248 |
15 | 1db1343 |
hex | 14d0000 |
21823488 has 102 divisors (see below), whose sum is σ = 64749074. Its totient is φ = 7077888.
The previous prime is 21823453. The next prime is 21823499. The reversal of 21823488 is 88432812.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 21233664 + 589824 = 4608^2 + 768^2 .
It is a super-2 number, since 2×218234882 = 952529256972288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589806 + ... + 589842.
Almost surely, 221823488 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 21823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32374537).
21823488 is an abundant number, since it is smaller than the sum of its proper divisors (42925586).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21823488 is an frugal number, since it uses more digits than its factorization.
21823488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75 (or 42 counting only the distinct ones).
The product of its digits is 24576, while the sum is 36.
The square root of 21823488 is about 4671.5616232690. The cubic root of 21823488 is about 279.4525357215.
21823488 divided by its product of digits (24576) gives a palindrome (888).
The spelling of 21823488 in words is "twenty-one million, eight hundred twenty-three thousand, four hundred eighty-eight".
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