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164232820 = 2258211641
BaseRepresentation
bin10011100100111…
…11111001110100
3102110000220002001
421302133321310
5314020422240
624144025044
74032645613
oct1162377164
9373026061
10164232820
1184783604
1247002184
13280432ab
1417b5187a
15e64189a
hex9c9fe74

164232820 has 12 divisors (see below), whose sum is σ = 344888964. Its totient is φ = 65693120.

The previous prime is 164232799. The next prime is 164232821. The reversal of 164232820 is 28232461.

It can be written as a sum of positive squares in 2 ways, for example, as 122810724 + 41422096 = 11082^2 + 6436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164232821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4105801 + ... + 4105840.

It is an arithmetic number, because the mean of its divisors is an integer number (28740747).

Almost surely, 2164232820 is an apocalyptic number.

164232820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164232820 is an abundant number, since it is smaller than the sum of its proper divisors (180656144).

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

164232820 is a wasteful number, since it uses less digits than its factorization.

164232820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211650 (or 8211648 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 164232820 is about 12815.3353448125. The cubic root of 164232820 is about 547.6292668924.

The spelling of 164232820 in words is "one hundred sixty-four million, two hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 8211641 16423282 32846564 41058205 82116410 164232820