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132202414 = 2317332909
BaseRepresentation
bin1111110000100…
…11111110101110
3100012202120121201
413320103332232
5232320434124
621041320114
73163462531
oct770237656
9305676551
10132202414
11686966a3
123833603a
132150a0a6
14137b4a18
15b916144
hex7e13fae

132202414 has 16 divisors (see below), whose sum is σ = 205050240. Its totient is φ = 63859680.

The previous prime is 132202381. The next prime is 132202417. The reversal of 132202414 is 414202231.

132202414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132202391 and 132202400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43992 + ... + 46900.

It is an arithmetic number, because the mean of its divisors is an integer number (12815640).

Almost surely, 2132202414 is an apocalyptic number.

132202414 is a deficient number, since it is larger than the sum of its proper divisors (72847826).

132202414 is a wasteful number, since it uses less digits than its factorization.

132202414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 132202414 is about 11497.9308573325. The cubic root of 132202414 is about 509.4244616002.

Adding to 132202414 its reverse (414202231), we get a palindrome (546404645).

The spelling of 132202414 in words is "one hundred thirty-two million, two hundred two thousand, four hundred fourteen".

Divisors: 1 2 31 62 733 1466 2909 5818 22723 45446 90179 180358 2132297 4264594 66101207 132202414