| Base | Representation |
|---|---|
| bin | 11010101110110… |
| … | …11000100100000 |
| 3 | 120121221202221100 |
| 4 | 31113123010200 |
| 5 | 424401302000 |
| 6 | 34130154400 |
| 7 | 5362020411 |
| oct | 1527330440 |
| 9 | 517852840 |
| 10 | 224244000 |
| 11 | 105641922 |
| 12 | 63122a00 |
| 13 | 375c5376 |
| 14 | 21ad3808 |
| 15 | 14a47a00 |
| hex | d5db120 |
224244000 has 144 divisors (see below), whose sum is σ = 795969720. Its totient is φ = 59788800.
The previous prime is 224243989. The next prime is 224244001. The reversal of 224244000 is 442422.
224244000 is a `hidden beast` number, since 224 + 2 + 440 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 66389904 + 157854096 = 8148^2 + 12564^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (224244001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32886 + ... + 39114.
Almost surely, 2224244000 is an apocalyptic number.
224244000 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 224244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397984860).
224244000 is an abundant number, since it is smaller than the sum of its proper divisors (571725720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224244000 is a wasteful number, since it uses less digits than its factorization.
224244000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6260 (or 6239 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 224244000 is about 14974.7787963629. The cubic root of 224244000 is about 607.5382285550.
Adding to 224244000 its reverse (442422), we get a palindrome (224686422).
The spelling of 224244000 in words is "two hundred twenty-four million, two hundred forty-four thousand".
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