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164322132 = 223131053347
BaseRepresentation
bin10011100101101…
…01101101010100
3102110012102120220
421302311231110
5314031302012
624145554340
74033500162
oct1162655524
9373172526
10164322132
1184834717
12470459b0
1328074b40
1417b76232
15e65d08c
hex9cb5b54

164322132 has 24 divisors (see below), whose sum is σ = 412912416. Its totient is φ = 50560608.

The previous prime is 164322131. The next prime is 164322161. The reversal of 164322132 is 231223461.

164322132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164322131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526518 + ... + 526829.

It is an arithmetic number, because the mean of its divisors is an integer number (17204684).

Almost surely, 2164322132 is an apocalyptic number.

164322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164322132 is an abundant number, since it is smaller than the sum of its proper divisors (248590284).

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

164322132 is a wasteful number, since it uses less digits than its factorization.

164322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053367 (or 1053365 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 164322132 is about 12818.8194464233. The cubic root of 164322132 is about 547.7285182719.

Adding to 164322132 its reverse (231223461), we get a palindrome (395545593).

The spelling of 164322132 in words is "one hundred sixty-four million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1053347 2106694 3160041 4213388 6320082 12640164 13693511 27387022 41080533 54774044 82161066 164322132