Search a number
-
+
164165733 = 32179181563
BaseRepresentation
bin10011100100011…
…11100001100101
3102102220111001100
421302033201211
5314011300413
624142350313
74032246204
oct1162174145
9372814040
10164165733
1184738166
1246b8b399
132801b8b4
1417b3523b
15e62ba73
hex9c8f865

164165733 has 24 divisors (see below), whose sum is σ = 240196320. Its totient is φ = 108038880.

The previous prime is 164165731. The next prime is 164165737. The reversal of 164165733 is 337561461.

164165733 is a `hidden beast` number, since 1 + 641 + 6 + 5 + 7 + 3 + 3 = 666.

164165733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164165733 - 21 = 164165731 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164165731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291310 + ... + 291872.

It is an arithmetic number, because the mean of its divisors is an integer number (10008180).

Almost surely, 2164165733 is an apocalyptic number.

It is an amenable number.

164165733 is a deficient number, since it is larger than the sum of its proper divisors (76030587).

164165733 is a wasteful number, since it uses less digits than its factorization.

164165733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 926 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 164165733 is about 12812.7176274200. The cubic root of 164165733 is about 547.5546902270.

The spelling of 164165733 in words is "one hundred sixty-four million, one hundred sixty-five thousand, seven hundred thirty-three".

Divisors: 1 3 9 179 181 537 543 563 1611 1629 1689 5067 32399 97197 100777 101903 291591 302331 305709 906993 917127 18240637 54721911 164165733