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212630409 = 32121319477
BaseRepresentation
bin11001010110001…
…11101110001001
3112211002202002100
430223013232021
5413413133114
633033224013
75161220505
oct1453075611
9484082070
10212630409
11aa02a412
125b262009
133508a214
142034d305
1513a01909
hexcac7b89

212630409 has 12 divisors (see below), whose sum is σ = 307401796. Its totient is φ = 141629472.

The previous prime is 212630401. The next prime is 212630459. The reversal of 212630409 is 904036212.

212630409 is a `hidden beast` number, since 21 + 2 + 630 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 144072009 = 8280^2 + 12003^2 .

It is not a de Polignac number, because 212630409 - 23 = 212630401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212630401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179 + ... + 20655.

Almost surely, 2212630409 is an apocalyptic number.

It is an amenable number.

212630409 is a deficient number, since it is larger than the sum of its proper divisors (94771387).

212630409 is a wasteful number, since it uses less digits than its factorization.

212630409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20696 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 212630409 is about 14581.8520428648. The cubic root of 212630409 is about 596.8636423339.

The spelling of 212630409 in words is "two hundred twelve million, six hundred thirty thousand, four hundred nine".

Divisors: 1 3 9 1213 3639 10917 19477 58431 175293 23625601 70876803 212630409