| Base | Representation |
|---|---|
| bin | 11010110100100… |
| … | …11101010100100 |
| 3 | 120200101012010001 |
| 4 | 31122103222210 |
| 5 | 430100000400 |
| 6 | 34154311044 |
| 7 | 5401316653 |
| oct | 1532235244 |
| 9 | 520335101 |
| 10 | 225000100 |
| 11 | 1060089a6 |
| 12 | 63428484 |
| 13 | 377cb570 |
| 14 | 21c4d19a |
| 15 | 14b46a6a |
| hex | d693aa4 |
225000100 has 72 divisors (see below), whose sum is σ = 556792488. Its totient is φ = 78182400.
The previous prime is 225000091. The next prime is 225000107. The reversal of 225000100 is 1000522.
225000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 58125376 + 166874724 = 7624^2 + 12918^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225000107) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17010 + ... + 27190.
It is an arithmetic number, because the mean of its divisors is an integer number (7733229).
Almost surely, 2225000100 is an apocalyptic number.
225000100 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 225000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278396244).
225000100 is an abundant number, since it is smaller than the sum of its proper divisors (331792388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225000100 is a wasteful number, since it uses less digits than its factorization.
225000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10225 (or 10218 counting only the distinct ones).
The product of its (nonzero) digits is 20, while the sum is 10.
The square root of 225000100 is about 15000.0033333330. The cubic root of 225000100 is about 608.2202896640.
Adding to 225000100 its reverse (1000522), we get a palindrome (226000622).
The spelling of 225000100 in words is "two hundred twenty-five million, one hundred", and thus it is an aban number.
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