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42200205 = 3517732267
BaseRepresentation
bin1010000011111…
…0110010001101
32221101222210120
42200332302031
541300401310
64104255153
71021460445
oct240766215
987358716
1042200205
1121903703
12121714b9
138987148
145867125
153a88b70
hex283ec8d

42200205 has 32 divisors (see below), whose sum is σ = 72503424. Its totient is φ = 20883456.

The previous prime is 42200203. The next prime is 42200237. The reversal of 42200205 is 50200224.

42200205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42200205 - 21 = 42200203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200201) 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 31 ways as a sum of consecutive naturals, for example, 17482 + ... + 19748.

It is an arithmetic number, because the mean of its divisors is an integer number (2265732).

Almost surely, 242200205 is an apocalyptic number.

It is an amenable number.

42200205 is a deficient number, since it is larger than the sum of its proper divisors (30303219).

42200205 is a wasteful number, since it uses less digits than its factorization.

42200205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42200205 is about 6496.1684861155. The cubic root of 42200205 is about 348.1541050201.

Adding to 42200205 its reverse (50200224), we get a palindrome (92400429).

The spelling of 42200205 in words is "forty-two million, two hundred thousand, two hundred five".

Divisors: 1 3 5 15 17 51 73 85 219 255 365 1095 1241 2267 3723 6205 6801 11335 18615 34005 38539 115617 165491 192695 496473 578085 827455 2482365 2813347 8440041 14066735 42200205