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132221461 = 1737210209
BaseRepresentation
bin1111110000110…
…00101000010101
3100012210112202011
413320120220111
5232322041321
621041544221
73163602211
oct770305025
9305715664
10132221461
11686a9a39
1238345071
1321515968
14137bb941
15b91bae1
hex7e18a15

132221461 has 8 divisors (see below), whose sum is σ = 143783640. Its totient is φ = 121079808.

The previous prime is 132221449. The next prime is 132221471. The reversal of 132221461 is 164122231.

It can be written as a sum of positive squares in 4 ways, for example, as 64883025 + 67338436 = 8055^2 + 8206^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 132221461 - 25 = 132221429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221471) 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 7 ways as a sum of consecutive naturals, for example, 104476 + ... + 105733.

It is an arithmetic number, because the mean of its divisors is an integer number (17972955).

Almost surely, 2132221461 is an apocalyptic number.

It is an amenable number.

132221461 is a deficient number, since it is larger than the sum of its proper divisors (11562179).

132221461 is a wasteful number, since it uses less digits than its factorization.

132221461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210263.

The product of its digits is 576, while the sum is 22.

The square root of 132221461 is about 11498.7591069645. The cubic root of 132221461 is about 509.4489254545.

Adding to 132221461 its reverse (164122231), we get a palindrome (296343692).

The spelling of 132221461 in words is "one hundred thirty-two million, two hundred twenty-one thousand, four hundred sixty-one".

Divisors: 1 17 37 629 210209 3573553 7777733 132221461