Search a number
-
+
164204532 = 22324561237
BaseRepresentation
bin10011100100110…
…00111111110100
3102102222110021100
421302120333310
5314014021112
624143250100
74032500262
oct1162307764
9372873240
10164204532
1184764328
1246ba9930
132803345b
1417b45432
15e6382dc
hex9c98ff4

164204532 has 18 divisors (see below), whose sum is σ = 415072658. Its totient is φ = 54734832.

The previous prime is 164204531. The next prime is 164204533. The reversal of 164204532 is 235402461.

164204532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164204531) and next prime (164204533).

It can be written as a sum of positive squares in only one way, i.e., 138438756 + 25765776 = 11766^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 164204496 and 164204505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164204531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2280583 + ... + 2280654.

Almost surely, 2164204532 is an apocalyptic number.

164204532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164204532 is an abundant number, since it is smaller than the sum of its proper divisors (250868126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164204532 is a wasteful number, since it uses less digits than its factorization.

164204532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561247 (or 4561242 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 164204532 is about 12814.2316195705. The cubic root of 164204532 is about 547.5978232662.

Adding to 164204532 its reverse (235402461), we get a palindrome (399606993).

The spelling of 164204532 in words is "one hundred sixty-four million, two hundred four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4561237 9122474 13683711 18244948 27367422 41051133 54734844 82102266 164204532