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164267232 = 2531711117
BaseRepresentation
bin10011100101010…
…00010011100000
3102110002122021120
421302220103200
5314023022412
624144452240
74033151133
oct1162502340
9373078246
10164267232
11847a7448
124701a080
1328055b5c
1417b6021a
15e64bb8c
hex9ca84e0

164267232 has 24 divisors (see below), whose sum is σ = 431201736. Its totient is φ = 54755712.

The previous prime is 164267221. The next prime is 164267237. The reversal of 164267232 is 232762461.

164267232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 164267193 and 164267202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164267237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 855463 + ... + 855654.

It is an arithmetic number, because the mean of its divisors is an integer number (17966739).

Almost surely, 2164267232 is an apocalyptic number.

164267232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164267232 is an abundant number, since it is smaller than the sum of its proper divisors (266934504).

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

164267232 is a wasteful number, since it uses less digits than its factorization.

164267232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711130 (or 1711122 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 164267232 is about 12816.6778846938. The cubic root of 164267232 is about 547.6675128051.

The spelling of 164267232 in words is "one hundred sixty-four million, two hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1711117 3422234 5133351 6844468 10266702 13688936 20533404 27377872 41066808 54755744 82133616 164267232