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206006442 = 2317532719
BaseRepresentation
bin11000100011101…
…10100010101010
3112100122012201020
430101312202222
5410214201232
632235233310
75051011605
oct1421664252
9470565636
10206006442
11a6315764
1258ba8836
13338ab205
141d50733c
1513143e2c
hexc4768aa

206006442 has 48 divisors (see below), whose sum is σ = 445253760. Its totient is φ = 63321856.

The previous prime is 206006419. The next prime is 206006443. The reversal of 206006442 is 244600602.

206006442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206006443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 286159 + ... + 286877.

It is an arithmetic number, because the mean of its divisors is an integer number (9276120).

Almost surely, 2206006442 is an apocalyptic number.

206006442 is an abundant number, since it is smaller than the sum of its proper divisors (239247318).

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

206006442 is a wasteful number, since it uses less digits than its factorization.

206006442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 206006442 is about 14352.9245103568. The cubic root of 206006442 is about 590.6002146202.

The spelling of 206006442 in words is "two hundred six million, six thousand, four hundred forty-two".

Divisors: 1 2 3 6 17 34 51 53 102 106 159 318 719 901 1438 1802 2157 2703 2809 4314 5406 5618 8427 12223 16854 24446 36669 38107 47753 73338 76214 95506 114321 143259 228642 286518 647819 1295638 1943457 2019671 3886914 4039342 6059013 12118026 34334407 68668814 103003221 206006442