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42224 = 2471329
BaseRepresentation
bin1010010011110000
32010220212
422103300
52322344
6523252
7234050
oct122360
963825
1042224
11297a6
1220528
13162b0
1411560
15c79e
hexa4f0

42224 has 40 divisors (see below), whose sum is σ = 104160. Its totient is φ = 16128.

The previous prime is 42223. The next prime is 42227.

It is a happy number.

42224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42199 and 42208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221) 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 7 ways as a sum of consecutive naturals, for example, 1442 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

242224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

42224 is an abundant number, since it is smaller than the sum of its proper divisors (61936).

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

42224 is a wasteful number, since it uses less digits than its factorization.

42224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 51 counting only the distinct ones).

The product of its digits is 128, while the sum is 14.

The square root of 42224 is about 205.4847926247. The cubic root of 42224 is about 34.8219529429.

The spelling of 42224 in words is "forty-two thousand, two hundred twenty-four", and thus it is an iban number.