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132966223 = 1331329941
BaseRepresentation
bin1111110110011…
…10011101001111
3100021012101100221
413323032131033
5233014404343
621105532211
73203123425
oct773163517
9307171327
10132966223
1169068545
1238644067
1321716950
1413933115
15ba175ed
hex7ece74f

132966223 has 8 divisors (see below), whose sum is σ = 147814016. Its totient is φ = 118778400.

The previous prime is 132966217. The next prime is 132966233. The reversal of 132966223 is 322669231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132966223 - 213 = 132958031 is a prime.

It is a super-3 number, since 3×1329662233 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132966233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164568 + ... + 165373.

It is an arithmetic number, because the mean of its divisors is an integer number (18476752).

Almost surely, 2132966223 is an apocalyptic number.

132966223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132966223 is a deficient number, since it is larger than the sum of its proper divisors (14847793).

132966223 is a wasteful number, since it uses less digits than its factorization.

132966223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329985.

The product of its digits is 23328, while the sum is 34.

The square root of 132966223 is about 11531.0980830101. The cubic root of 132966223 is about 510.4036571030.

The spelling of 132966223 in words is "one hundred thirty-two million, nine hundred sixty-six thousand, two hundred twenty-three".

Divisors: 1 13 31 403 329941 4289233 10228171 132966223