| Base | Representation |
|---|---|
| bin | 1110101110100… |
| … | …01111010111001 |
| 3 | 22121110122110000 |
| 4 | 13113101322321 |
| 5 | 223111340400 |
| 6 | 20131543213 |
| 7 | 3030046221 |
| oct | 727217271 |
| 9 | 277418400 |
| 10 | 123543225 |
| 11 | 63811943 |
| 12 | 3545ab09 |
| 13 | 1c797900 |
| 14 | 1259d081 |
| 15 | aca5600 |
| hex | 75d1eb9 |
123543225 has 135 divisors (see below), whose sum is σ = 261530973. Its totient is φ = 57620160.
The previous prime is 123543191. The next prime is 123543253. The reversal of 123543225 is 522345321.
It is a happy number.
The square root of 123543225 is 11115.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 31843449 + 91699776 = 5643^2 + 9576^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 123543225 - 211 = 123541177 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
Its product of digits (7200) is a multiple of the sum of its prime divisors (40).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6502266 + ... + 6502284.
Almost surely, 2123543225 is an apocalyptic number.
123543225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
123543225 is the 11115-th square number.
123543225 is the 5558-th centered octagonal number.
It is an amenable number.
123543225 is an abundant number, since it is smaller than the sum of its proper divisors (137987748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123543225 is a wasteful number, since it uses less digits than its factorization.
123543225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86 (or 40 counting only the distinct ones).
The product of its digits is 7200, while the sum is 27.
The cubic root of 123543225 is about 498.0500385197.
Adding to 123543225 its reverse (522345321), we get a palindrome (645888546).
The spelling of 123543225 in words is "one hundred twenty-three million, five hundred forty-three thousand, two hundred twenty-five".
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