| Base | Representation |
|---|---|
| bin | 11010111000000… |
| … | …10110001100000 |
| 3 | 120201020022101121 |
| 4 | 31130002301200 |
| 5 | 430204031300 |
| 6 | 34212142024 |
| 7 | 5405223535 |
| oct | 1534026140 |
| 9 | 521208347 |
| 10 | 225455200 |
| 11 | 106299913 |
| 12 | 63607914 |
| 13 | 3792a759 |
| 14 | 21d2ad8c |
| 15 | 14bd681a |
| hex | d702c60 |
225455200 has 72 divisors (see below), whose sum is σ = 574369488. Its totient is φ = 86254080.
The previous prime is 225455179. The next prime is 225455203. The reversal of 225455200 is 2554522.
It is a happy number.
225455200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (25) 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 (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225455203) 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 11 ways as a sum of consecutive naturals, for example, 12274 + ... + 24526.
It is an arithmetic number, because the mean of its divisors is an integer number (7977354).
Almost surely, 2225455200 is an apocalyptic number.
225455200 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 225455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287184744).
225455200 is an abundant number, since it is smaller than the sum of its proper divisors (348914288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225455200 is a wasteful number, since it uses less digits than its factorization.
225455200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12296 (or 12283 counting only the distinct ones).
The product of its (nonzero) digits is 4000, while the sum is 25.
The square root of 225455200 is about 15015.1656667517. The cubic root of 225455200 is about 608.6300889455.
The spelling of 225455200 in words is "two hundred twenty-five million, four hundred fifty-five thousand, two hundred".
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