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42223071 = 3112412837
BaseRepresentation
bin1010000100010…
…0010111011111
32221110011011110
42201010113133
541302114241
64104553103
71021614222
oct241042737
987404143
1042223071
1121919900
1212182793
138994687
1458715b9
153a90816
hex28445df

42223071 has 24 divisors (see below), whose sum is σ = 63412272. Its totient is φ = 24956800.

The previous prime is 42223063. The next prime is 42223079. The reversal of 42223071 is 17032224.

42223071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42223063) and next prime (42223079).

It is not a de Polignac number, because 42223071 - 23 = 42223063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223079) 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, 13465 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (2642178).

Almost surely, 242223071 is an apocalyptic number.

42223071 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42223071 is a deficient number, since it is larger than the sum of its proper divisors (21189201).

42223071 is a wasteful number, since it uses less digits than its factorization.

42223071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42223071 is about 6497.9282082830. The cubic root of 42223071 is about 348.2169756020.

Adding to 42223071 its reverse (17032224), we get a palindrome (59255295).

The spelling of 42223071 in words is "forty-two million, two hundred twenty-three thousand, seventy-one".

Divisors: 1 3 11 33 41 121 123 363 451 1353 2837 4961 8511 14883 31207 93621 116317 343277 348951 1029831 1279487 3838461 14074357 42223071