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42221244 = 22313893041
BaseRepresentation
bin1010000100001…
…1111010111100
32221110001122210
42201003322330
541302034434
64104540420
71021606002
oct241037274
987401583
1042221244
112191849a
1212181710
1389938b0
145870a72
153a8eee9
hex2843ebc

42221244 has 48 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 12840960.

The previous prime is 42221243. The next prime is 42221269. The reversal of 42221244 is 44212224.

42221244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42221244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221243) 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 15 ways as a sum of consecutive naturals, for example, 12364 + ... + 15404.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 242221244 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 42221244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

42221244 is an abundant number, since it is smaller than the sum of its proper divisors (65100516).

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

42221244 is a wasteful number, since it uses less digits than its factorization.

42221244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3148 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 42221244 is about 6497.7876234916. The cubic root of 42221244 is about 348.2119530589.

Adding to 42221244 its reverse (44212224), we get a palindrome (86433468).

The spelling of 42221244 in words is "forty-two million, two hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 2314 3041 3471 4628 6082 6942 9123 12164 13884 18246 36492 39533 79066 118599 158132 237198 270649 474396 541298 811947 1082596 1623894 3247788 3518437 7036874 10555311 14073748 21110622 42221244