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132214144 = 278271249
BaseRepresentation
bin1111110000101…
…10110110000000
3100012210011201011
413320112312000
5232321323034
621041450304
73163541656
oct770266600
9305704634
10132214144
11686a4497
1238340994
132151252a
14137b8dd6
15b919864
hex7e16d80

132214144 has 32 divisors (see below), whose sum is σ = 263925000. Its totient is φ = 65974272.

The previous prime is 132214133. The next prime is 132214157. The reversal of 132214144 is 441412231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105232 + ... + 106480.

Almost surely, 2132214144 is an apocalyptic number.

It is an amenable number.

132214144 is a deficient number, since it is larger than the sum of its proper divisors (131710856).

132214144 is an equidigital number, since it uses as much as digits as its factorization.

132214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2078 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 132214144 is about 11498.4409377967. The cubic root of 132214144 is about 509.4395278208.

Adding to 132214144 its reverse (441412231), we get a palindrome (573626375).

The spelling of 132214144 in words is "one hundred thirty-two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 827 1249 1654 2498 3308 4996 6616 9992 13232 19984 26464 39968 52928 79936 105856 159872 1032923 2065846 4131692 8263384 16526768 33053536 66107072 132214144