Search a number
-
+
164123325 = 32522925153
BaseRepresentation
bin10011100100001…
…01001010111101
3102102211022212200
421302011022331
5314003421300
624141422113
74032011442
oct1162051275
9372738780
10164123325
1184709313
1246b6a939
13280054c2
1417b239c9
15e61e200
hex9c852bd

164123325 has 36 divisors (see below), whose sum is σ = 304111860. Its totient is φ = 84510720.

The previous prime is 164123293. The next prime is 164123327. The reversal of 164123325 is 523321461.

164123325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1790244 + 162333081 = 1338^2 + 12741^2 .

It is not a de Polignac number, because 164123325 - 25 = 164123293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164123327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6052 + ... + 19101.

Almost surely, 2164123325 is an apocalyptic number.

164123325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164123325 is a deficient number, since it is larger than the sum of its proper divisors (139988535).

164123325 is a wasteful number, since it uses less digits than its factorization.

164123325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25198 (or 25190 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 164123325 is about 12811.0626022981. The cubic root of 164123325 is about 547.5075372704.

Adding to 164123325 its reverse (523321461), we get a palindrome (687444786).

The spelling of 164123325 in words is "one hundred sixty-four million, one hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 25153 75459 125765 226377 377295 628825 729437 1131885 1886475 2188311 3647185 5659425 6564933 10941555 18235925 32824665 54707775 164123325