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212284008 = 23322948389
BaseRepresentation
bin11001010011100…
…11001001101000
3112210110010220200
430221303021220
5413321042013
633021552200
75155245546
oct1451631150
9483403820
10212284008
11a9913132
125b115660
1334c98651
142029cd96
1513983e73
hexca73268

212284008 has 24 divisors (see below), whose sum is σ = 574936050. Its totient is φ = 70761312.

The previous prime is 212283983. The next prime is 212284013. The reversal of 212284008 is 800482212.

It can be written as a sum of positive squares in only one way, i.e., 204432804 + 7851204 = 14298^2 + 2802^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1474123 + ... + 1474266.

Almost surely, 2212284008 is an apocalyptic number.

It is an amenable number.

212284008 is an abundant number, since it is smaller than the sum of its proper divisors (362652042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212284008 is a wasteful number, since it uses less digits than its factorization.

212284008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948401 (or 2948394 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 212284008 is about 14569.9693891236. The cubic root of 212284008 is about 596.5393448181.

The spelling of 212284008 in words is "two hundred twelve million, two hundred eighty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2948389 5896778 8845167 11793556 17690334 23587112 26535501 35380668 53071002 70761336 106142004 212284008