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132265221 = 3112418887
BaseRepresentation
bin1111110001000…
…11010100000101
3100012212202202220
413320203110011
5232324441341
621042522553
73164143614
oct770432405
9305782686
10132265221
1168729900
1238366459
132152c85a
14137cd87b
15b929a66
hex7e23505

132265221 has 24 divisors (see below), whose sum is σ = 198593472. Its totient is φ = 78196800.

The previous prime is 132265193. The next prime is 132265241. The reversal of 132265221 is 122562231.

It is not a de Polignac number, because 132265221 - 27 = 132265093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132265191 and 132265200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132265241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10440 + ... + 19326.

It is an arithmetic number, because the mean of its divisors is an integer number (8274728).

Almost surely, 2132265221 is an apocalyptic number.

132265221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132265221 is a deficient number, since it is larger than the sum of its proper divisors (66328251).

132265221 is a wasteful number, since it uses less digits than its factorization.

132265221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8942 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 132265221 is about 11500.6617635682. The cubic root of 132265221 is about 509.5051216419.

The spelling of 132265221 in words is "one hundred thirty-two million, two hundred sixty-five thousand, two hundred twenty-one".

Divisors: 1 3 11 33 41 121 123 363 451 1353 4961 8887 14883 26661 97757 293271 364367 1075327 1093101 3225981 4008037 12024111 44088407 132265221