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212327505 = 32513362953
BaseRepresentation
bin11001010011111…
…01110001010001
3112210112100120200
430221331301101
5413323440010
633022525413
75155516425
oct1451756121
9483470520
10212327505
11a9942885
125b136869
1334cb23a0
14202b0b85
1513991cc0
hexca7dc51

212327505 has 24 divisors (see below), whose sum is σ = 396345768. Its totient is φ = 104530176.

The previous prime is 212327503. The next prime is 212327509. The reversal of 212327505 is 505723212.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 208311489 = 2004^2 + 14433^2 .

It is not a de Polignac number, because 212327505 - 21 = 212327503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212327503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180892 + ... + 182061.

It is an arithmetic number, because the mean of its divisors is an integer number (16514407).

Almost surely, 2212327505 is an apocalyptic number.

It is an amenable number.

212327505 is a deficient number, since it is larger than the sum of its proper divisors (184018263).

212327505 is a wasteful number, since it uses less digits than its factorization.

212327505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362977 (or 362974 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 212327505 is about 14571.4620062642. The cubic root of 212327505 is about 596.5800856792.

The spelling of 212327505 in words is "two hundred twelve million, three hundred twenty-seven thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 362953 1088859 1814765 3266577 4718389 5444295 14155167 16332885 23591945 42465501 70775835 212327505