Base | Representation |
---|---|
bin | 11111110011110… |
… | …00100101100001 |
3 | 200121002111000000 |
4 | 33321320211201 |
5 | 1021302112400 |
6 | 42251050213 |
7 | 6420015342 |
oct | 1771704541 |
9 | 617074000 |
10 | 266832225 |
11 | 127690000 |
12 | 75440969 |
13 | 43386cba |
14 | 2761c0c9 |
15 | 1865b600 |
hex | fe78961 |
266832225 has 105 divisors (see below), whose sum is σ = 545685715. Its totient is φ = 129373200.
The previous prime is 266832199. The next prime is 266832229. The reversal of 266832225 is 522238662.
The square root of 266832225 is 16335.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 96059601 + 170772624 = 9801^2 + 13068^2 .
It is not a de Polignac number, because 266832225 - 215 = 266799457 is a prime.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
Its product of digits (69120) is a multiple of the sum of its prime factors (72).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 266832225.
It is not an unprimeable number, because it can be changed into a prime (266832229) by changing a digit.
It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 24257470 + ... + 24257480.
Almost surely, 2266832225 is an apocalyptic number.
266832225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
266832225 is the 16335-th square number.
266832225 is the 8168-th centered octagonal number.
It is an amenable number.
266832225 is an abundant number, since it is smaller than the sum of its proper divisors (278853490).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
266832225 is an frugal number, since it uses more digits than its factorization.
266832225 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 19 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The cubic root of 266832225 is about 643.7927661914.
Multiplying 266832225 by its sum of digits (36), we get a square (9605960100 = 980102).
The spelling of 266832225 in words is "two hundred sixty-six million, eight hundred thirty-two thousand, two hundred twenty-five".
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