| Base | Representation |
|---|---|
| bin | 11010110111000… |
| … | …10010100000000 |
| 3 | 120200222120000011 |
| 4 | 31123202110000 |
| 5 | 430140302430 |
| 6 | 34205234304 |
| 7 | 5404131103 |
| oct | 1533422400 |
| 9 | 520876004 |
| 10 | 225322240 |
| 11 | 106208a30 |
| 12 | 63562994 |
| 13 | 378b2090 |
| 14 | 21cd473a |
| 15 | 14bac22a |
| hex | d6e2500 |
225322240 has 144 divisors (see below), whose sum is σ = 634588416. Its totient is φ = 75571200.
The previous prime is 225322231. The next prime is 225322241. The reversal of 225322240 is 42223522.
It is a happy number.
It is a super-2 number, since 2×2253222402 = 101540223677235200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225322241) 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, 182425 + ... + 183655.
It is an arithmetic number, because the mean of its divisors is an integer number (4406864).
Almost surely, 2225322240 is an apocalyptic number.
225322240 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 225322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317294208).
225322240 is an abundant number, since it is smaller than the sum of its proper divisors (409266176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225322240 is a wasteful number, since it uses less digits than its factorization.
225322240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1276 (or 1262 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 22.
The square root of 225322240 is about 15010.7374902101. The cubic root of 225322240 is about 608.5104208698.
Adding to 225322240 its reverse (42223522), we get a palindrome (267545762).
The spelling of 225322240 in words is "two hundred twenty-five million, three hundred twenty-two thousand, two hundred forty".
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