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132224001 = 3721369191
BaseRepresentation
bin1111110000110…
…01010000000001
3100012210200020020
413320121100001
5232322132001
621042004053
73163612500
oct770312001
9305720206
10132224001
1168700938
1238346629
1321516b70
14137bc837
15b91c736
hex7e19401

132224001 has 24 divisors (see below), whose sum is σ = 220860864. Its totient is φ = 69743520.

The previous prime is 132223997. The next prime is 132224009. The reversal of 132224001 is 100422231.

It is not a de Polignac number, because 132224001 - 22 = 132223997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32685 + ... + 36506.

It is an arithmetic number, because the mean of its divisors is an integer number (9202536).

Almost surely, 2132224001 is an apocalyptic number.

It is an amenable number.

132224001 is a deficient number, since it is larger than the sum of its proper divisors (88636863).

132224001 is a wasteful number, since it uses less digits than its factorization.

132224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69221 (or 69214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132224001 is about 11498.8695531343. The cubic root of 132224001 is about 509.4521876379.

Adding to 132224001 its reverse (100422231), we get a palindrome (232646232).

The spelling of 132224001 in words is "one hundred thirty-two million, two hundred twenty-four thousand, one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 69191 207573 484337 899483 1453011 2698449 3390359 6296381 10171077 18889143 44074667 132224001