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132227001 = 3238332
BaseRepresentation
bin1111110000110…
…01111110111001
3100012210211100100
413320121332321
5232322231001
621042030013
73163624314
oct770317671
9305724310
10132227001
1168703115
1238348309
132151833a
14137bd97b
15b91d586
hex7e19fb9

132227001 has 9 divisors (see below), whose sum is σ = 191044399. Its totient is φ = 88128336.

The previous prime is 132226987. The next prime is 132227089. The reversal of 132227001 is 100722231.

The square root of 132227001 is 11499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28676025 + 103550976 = 5355^2 + 10176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 132227001 - 29 = 132226489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132227801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32581 + ... + 36413.

Almost surely, 2132227001 is an apocalyptic number.

132227001 is the 11499-th square number.

132227001 is the 5750-th centered octagonal number.

It is an amenable number.

132227001 is a deficient number, since it is larger than the sum of its proper divisors (58817398).

132227001 is an frugal number, since it uses more digits than its factorization.

132227001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The cubic root of 132227001 is about 509.4560405567.

Adding to 132227001 its reverse (100722231), we get a palindrome (232949232).

The spelling of 132227001 in words is "one hundred thirty-two million, two hundred twenty-seven thousand, one".

Divisors: 1 3 9 3833 11499 34497 14691889 44075667 132227001