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132164224 = 275871759
BaseRepresentation
bin1111110000010…
…10101010000000
3100012200122020021
413320022222000
5232313223344
621040423224
73163243303
oct770125200
9305618207
10132164224
116866aa35
1238317b14
13214c58aa
14137a4b3a
15b909b84
hex7e0aa80

132164224 has 32 divisors (see below), whose sum is σ = 263894400. Its totient is φ = 65932032.

The previous prime is 132164213. The next prime is 132164287. The reversal of 132164224 is 422461231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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, 74257 + ... + 76015.

It is an arithmetic number, because the mean of its divisors is an integer number (8246700).

Almost surely, 2132164224 is an apocalyptic number.

It is an amenable number.

132164224 is a deficient number, since it is larger than the sum of its proper divisors (131730176).

132164224 is an equidigital number, since it uses as much as digits as its factorization.

132164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2348 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 132164224 is about 11496.2700037882. The cubic root of 132164224 is about 509.3754035100.

The spelling of 132164224 in words is "one hundred thirty-two million, one hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 587 1174 1759 2348 3518 4696 7036 9392 14072 18784 28144 37568 56288 75136 112576 225152 1032533 2065066 4130132 8260264 16520528 33041056 66082112 132164224