| Base | Representation |
|---|---|
| bin | 11010110100111… |
| … | …01011010000000 |
| 3 | 120200110012211211 |
| 4 | 31122131122000 |
| 5 | 430102240000 |
| 6 | 34155215504 |
| 7 | 5401544203 |
| oct | 1532353200 |
| 9 | 520405754 |
| 10 | 225040000 |
| 11 | 106035979 |
| 12 | 63447594 |
| 13 | 37813783 |
| 14 | 21c5d93a |
| 15 | 14b537ba |
| hex | d69d680 |
225040000 has 160 divisors (see below), whose sum is σ = 585515700. Its totient is φ = 86016000.
The previous prime is 225039979. The next prime is 225040007. The reversal of 225040000 is 40522.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 19289664 + 205750336 = 4392^2 + 14344^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-4 number, since 4×2250400004 (a number of 35 digits) contains 4444 as substring.
It is not an unprimeable number, because it can be changed into a prime (225040007) 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 19 ways as a sum of consecutive naturals, for example, 2319952 + ... + 2320048.
Almost surely, 2225040000 is an apocalyptic number.
225040000 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 225040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292757850).
225040000 is an abundant number, since it is smaller than the sum of its proper divisors (360475700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225040000 is an frugal number, since it uses more digits than its factorization.
225040000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160 (or 133 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 13.
The square root of 225040000 is about 15001.3332740793. Note that the first 3 decimals coincide. The cubic root of 225040000 is about 608.2562401002.
Adding to 225040000 its reverse (40522), we get a palindrome (225080522).
The spelling of 225040000 in words is "two hundred twenty-five million, forty thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.000 sec. • engine limits •