Search a number
-
+
23184225 = 34521072
BaseRepresentation
bin101100001110…
…0001101100001
31121121212210000
41120130031201
521413343400
62144530213
7401030331
oct130341541
947555700
1023184225
11120a5719
127920969
134a5989c
1431170c1
15207e600
hex161c361

23184225 has 45 divisors (see below), whose sum is σ = 43350307. Its totient is φ = 12249360.

The previous prime is 23184197. The next prime is 23184241. The reversal of 23184225 is 52248132.

The square root of 23184225 is 4815.

It is a perfect power (a square), and thus also a powerful number.

23184225 is a `hidden beast` number, since 231 + 8 + 422 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8346321 + 14837904 = 2889^2 + 3852^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 23184225 - 25 = 23184193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 216622 + ... + 216728.

Almost surely, 223184225 is an apocalyptic number.

23184225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23184225 is the 4815-th square number.

23184225 is the 2408-th centered octagonal number.

It is an amenable number.

23184225 is a deficient number, since it is larger than the sum of its proper divisors (20166082).

23184225 is an equidigital number, since it uses as much as digits as its factorization.

23184225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 115 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The cubic root of 23184225 is about 285.1439715799.

It can be divided in two parts, 23184 and 225, that added together give a square (23409 = 1532).

The spelling of 23184225 in words is "twenty-three million, one hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 107 135 225 321 405 535 675 963 1605 2025 2675 2889 4815 8025 8667 11449 14445 24075 34347 43335 57245 72225 103041 171735 216675 286225 309123 515205 858675 927369 1545615 2576025 4636845 7728075 23184225