| Base | Representation |
|---|---|
| bin | 11010101111001… |
| … | …01011000100000 |
| 3 | 120122000220212210 |
| 4 | 31113211120200 |
| 5 | 424404124430 |
| 6 | 34131122120 |
| 7 | 5362254513 |
| oct | 1527453040 |
| 9 | 518026783 |
| 10 | 224286240 |
| 11 | 105670632 |
| 12 | 63143340 |
| 13 | 3760b669 |
| 14 | 21b04d7a |
| 15 | 14a552b0 |
| hex | d5e5620 |
224286240 has 96 divisors (see below), whose sum is σ = 729340416. Its totient is φ = 57876480.
The previous prime is 224286233. The next prime is 224286263. The reversal of 224286240 is 42682422.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 224286198 and 224286207.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 7344 + ... + 22416.
It is an arithmetic number, because the mean of its divisors is an integer number (7597296).
Almost surely, 2224286240 is an apocalyptic number.
224286240 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 224286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364670208).
224286240 is an abundant number, since it is smaller than the sum of its proper divisors (505054176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224286240 is a wasteful number, since it uses less digits than its factorization.
224286240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15122 (or 15114 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 30.
The square root of 224286240 is about 14976.1891013702. The cubic root of 224286240 is about 607.5763727248.
The spelling of 224286240 in words is "two hundred twenty-four million, two hundred eighty-six thousand, two hundred forty".
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