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212265961 = 1716137741
BaseRepresentation
bin11001010011011…
…10101111101001
3112210102020011021
430221232233221
5413320002321
633021332441
75155142125
oct1451565751
9483366137
10212265961
11a9900616
125b107121
1334c9037b
1420296585
151397d941
hexca6ebe9

212265961 has 8 divisors (see below), whose sum is σ = 224920584. Its totient is φ = 199630080.

The previous prime is 212265953. The next prime is 212265971. The reversal of 212265961 is 169562212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39501225 + 172764736 = 6285^2 + 13144^2 .

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 212265961 - 23 = 212265953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212265971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23551 + ... + 31291.

It is an arithmetic number, because the mean of its divisors is an integer number (28115073).

Almost surely, 2212265961 is an apocalyptic number.

It is an amenable number.

212265961 is a deficient number, since it is larger than the sum of its proper divisors (12654623).

212265961 is a wasteful number, since it uses less digits than its factorization.

212265961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371.

The product of its digits is 12960, while the sum is 34.

The square root of 212265961 is about 14569.3500541376. The cubic root of 212265961 is about 596.5224397126.

The spelling of 212265961 in words is "two hundred twelve million, two hundred sixty-five thousand, nine hundred sixty-one".

Divisors: 1 17 1613 7741 27421 131597 12486233 212265961