| Base | Representation |
|---|---|
| bin | 11010111010111… |
| … | …00110000001000 |
| 3 | 120201221000221200 |
| 4 | 31131130300020 |
| 5 | 430302330002 |
| 6 | 34224104200 |
| 7 | 5411320200 |
| oct | 1535346010 |
| 9 | 521830850 |
| 10 | 225823752 |
| 11 | 106520800 |
| 12 | 63765060 |
| 13 | 37a2942b |
| 14 | 21dc5400 |
| 15 | 14c5ab1c |
| hex | d75cc08 |
225823752 has 324 divisors, whose sum is σ = 817497135. Its totient is φ = 56105280.
The previous prime is 225823751. The next prime is 225823811. The reversal of 225823752 is 257328522.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
225823752 is a `hidden beast` number, since 2 + 2 + 582 + 3 + 75 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 112911876 + 112911876 = 10626^2 + 10626^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=10626.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (225823751) 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 80 ways as a sum of consecutive naturals, for example, 9818413 + ... + 9818435.
Almost surely, 2225823752 is an apocalyptic number.
225823752 is a gapful number since it is divisible by the number (22) 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 225823752
225823752 is an abundant number, since it is smaller than the sum of its proper divisors (591673383).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225823752 is a wasteful number, since it uses less digits than its factorization.
225823752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 94 (or 46 counting only the distinct ones).
The product of its digits is 67200, while the sum is 36.
The square root of 225823752 is about 15027.4333137765. The cubic root of 225823752 is about 608.9615512785.
The spelling of 225823752 in words is "two hundred twenty-five million, eight hundred twenty-three thousand, seven hundred fifty-two".
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