| Base | Representation |
|---|---|
| bin | 1000001000100001… |
| … | …0110000100011001 |
| 3 | 12122011010100112100 |
| 4 | 2002020112010121 |
| 5 | 13432401210000 |
| 6 | 1000350034013 |
| 7 | 105050053200 |
| oct | 20210260431 |
| 9 | 5564110470 |
| 10 | 2183225625 |
| 11 | a204127a9 |
| 12 | 50b1a8909 |
| 13 | 28a40a4a9 |
| 14 | 169d52237 |
| 15 | cba06a00 |
| hex | 82216119 |
2183225625 has 135 divisors (see below), whose sum is σ = 4636133931. Its totient is φ = 986832000.
The previous prime is 2183225521. The next prime is 2183225633. The reversal of 2183225625 is 5265223812.
It is a happy number.
The square root of 2183225625 is 46725.
It is a perfect power (a square), and thus also a powerful number.
2183225625 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 2 + 25 + 625 = 666.
It can be written as a sum of positive squares in 7 ways, for example, as 2120878809 + 62346816 = 46053^2 + 7896^2 .
It is not a de Polignac number, because 2183225625 - 223 = 2174837017 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 2183225625.
It is an unprimeable number.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24530581 + ... + 24530669.
Almost surely, 22183225625 is an apocalyptic number.
2183225625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
2183225625 is the 46725-th square number.
2183225625 is the 23363-rd centered octagonal number.
It is an amenable number.
2183225625 is an abundant number, since it is smaller than the sum of its proper divisors (2452908306).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2183225625 is an frugal number, since it uses more digits than its factorization.
2183225625 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 218 (or 104 counting only the distinct ones).
The product of its digits is 57600, while the sum is 36.
The cubic root of 2183225625 is about 1297.2774630317.
Multiplying 2183225625 by its sum of digits (36), we get a square (78596122500 = 2803502).
Multiplying 2183225625 by its product of digits (57600), we get a square (125753796000000 = 112140002).
The spelling of 2183225625 in words is "two billion, one hundred eighty-three million, two hundred twenty-five thousand, six hundred twenty-five".
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