| Base | Representation |
|---|---|
| bin | 101001110111… |
| … | …1011000000000 |
| 3 | 1112022021111001 |
| 4 | 1103233120000 |
| 5 | 21104431000 |
| 6 | 2102301344 |
| 7 | 354406000 |
| oct | 123573000 |
| 9 | 45267431 |
| 10 | 21952000 |
| 11 | 11433954 |
| 12 | 7427854 |
| 13 | 4717a65 |
| 14 | 2cb6000 |
| 15 | 1dd946a |
| hex | 14ef600 |
21952000 has 160 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 7526400.
The previous prime is 21951997. The next prime is 21952003. The reversal of 21952000 is 25912.
The cubic root of 21952000 is 280.
It is a perfect power (a cube), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (21951997) and next prime (21952003).
It is a tau number, because it is divible by the number of its divisors (160).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21952003) 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, 3135997 + ... + 3136003.
It is an arithmetic number, because the mean of its divisors is an integer number (398970).
Almost surely, 221952000 is an apocalyptic number.
21952000 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 21952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).
21952000 is an abundant number, since it is smaller than the sum of its proper divisors (41883200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21952000 is an frugal number, since it uses more digits than its factorization.
21952000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 19.
The square root of 21952000 is about 4685.2961485908.
Adding to 21952000 its reverse (25912), we get a palindrome (21977912).
The spelling of 21952000 in words is "twenty-one million, nine hundred fifty-two thousand".
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