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42205229 = 1131612029
BaseRepresentation
bin1010000100000…
…0000000101101
32221102020200122
42201000000231
541301031404
64104334325
71021511213
oct241000055
987366618
1042205229
1121907460
12121743a5
138989511
145868cb3
153a8a3be
hex284002d

42205229 has 16 divisors (see below), whose sum is σ = 48330240. Its totient is φ = 36504000.

The previous prime is 42205217. The next prime is 42205279. The reversal of 42205229 is 92250224.

It is a cyclic number.

It is not a de Polignac number, because 42205229 - 220 = 41156653 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 42205198 and 42205207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19787 + ... + 21815.

It is an arithmetic number, because the mean of its divisors is an integer number (3020640).

Almost surely, 242205229 is an apocalyptic number.

It is an amenable number.

42205229 is a deficient number, since it is larger than the sum of its proper divisors (6125011).

42205229 is a wasteful number, since it uses less digits than its factorization.

42205229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 42205229 is about 6496.5551640850. Note that the first 3 decimals coincide. The cubic root of 42205229 is about 348.1679205676.

It can be divided in two parts, 4220 and 5229, that added together give a palindrome (9449).

The spelling of 42205229 in words is "forty-two million, two hundred five thousand, two hundred twenty-nine".

Divisors: 1 11 31 61 341 671 1891 2029 20801 22319 62899 123769 691889 1361459 3836839 42205229