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42223014 = 23229471721
BaseRepresentation
bin1010000100010…
…0010110100110
32221110011002100
42201010112212
541302114024
64104552530
71021614111
oct241042646
987404070
1042223014
1121919859
1212182746
138994642
145871578
153a907c9
hex28445a6

42223014 has 48 divisors (see below), whose sum is σ = 96707520. Its totient is φ = 13292160.

The previous prime is 42223007. The next prime is 42223021. The reversal of 42223014 is 41032224.

42223014 is a `hidden beast` number, since 422 + 230 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (42223007) and next prime (42223021).

It is a super-3 number, since 3×422230143 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23674 + ... + 25394.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 242223014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42223014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353760).

42223014 is an abundant number, since it is smaller than the sum of its proper divisors (54484506).

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

42223014 is a wasteful number, since it uses less digits than its factorization.

42223014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42223014 is about 6497.9238222682. The cubic root of 42223014 is about 348.2168189075.

Adding to 42223014 its reverse (41032224), we get a palindrome (83255238).

It can be divided in two parts, 422 and 23014, that added together give a triangular number (23436 = T216).

The spelling of 42223014 in words is "forty-two million, two hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 522 846 1363 1721 2726 3442 4089 5163 8178 10326 12267 15489 24534 30978 49909 80887 99818 149727 161774 242661 299454 449181 485322 727983 898362 1455966 2345723 4691446 7037169 14074338 21111507 42223014