Search a number
-
+
23187825 = 3252257401
BaseRepresentation
bin101100001110…
…1000101110001
31121122001201100
41120131011301
521414002300
62144555013
7401043663
oct130350561
947561640
1023187825
11120a83a1
127922a69
134a5b40b
143118533
152080700
hex161d171

23187825 has 36 divisors (see below), whose sum is σ = 41797548. Its totient is φ = 12288000.

The previous prime is 23187817. The next prime is 23187851. The reversal of 23187825 is 52878132.

It can be written as a sum of positive squares in 6 ways, for example, as 5948721 + 17239104 = 2439^2 + 4152^2 .

It is not a de Polignac number, because 23187825 - 23 = 23187817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23187825.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57625 + ... + 58025.

It is an arithmetic number, because the mean of its divisors is an integer number (1161043).

Almost surely, 223187825 is an apocalyptic number.

23187825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23187825 is a deficient number, since it is larger than the sum of its proper divisors (18609723).

23187825 is a wasteful number, since it uses less digits than its factorization.

23187825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 23187825 is about 4815.3738172649. The cubic root of 23187825 is about 285.1587296776.

The spelling of 23187825 in words is "twenty-three million, one hundred eighty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 257 401 771 1203 1285 2005 2313 3609 3855 6015 6425 10025 11565 18045 19275 30075 57825 90225 103057 309171 515285 927513 1545855 2576425 4637565 7729275 23187825