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42722224 = 2417236829
BaseRepresentation
bin1010001011111…
…0001110110000
32222101111212121
42202332032300
541414102344
64123404024
71026063406
oct242761660
988344777
1042722224
112212a926
1212383614
138b0a92c
145961476
153b3d684
hex28be3b0

42722224 has 40 divisors (see below), whose sum is σ = 91467360. Its totient is φ = 19227648.

The previous prime is 42722221. The next prime is 42722233. The reversal of 42722224 is 42222724.

42722224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42722221) 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 7 ways as a sum of consecutive naturals, for example, 2842 + ... + 9670.

It is an arithmetic number, because the mean of its divisors is an integer number (2286684).

Almost surely, 242722224 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 42722224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45733680).

42722224 is an abundant number, since it is smaller than the sum of its proper divisors (48745136).

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

42722224 is a wasteful number, since it uses less digits than its factorization.

42722224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6871 counting only the distinct ones).

The product of its digits is 3584, while the sum is 25.

The square root of 42722224 is about 6536.2239863701. The cubic root of 42722224 is about 349.5837882402.

Adding to 42722224 its reverse (42222724), we get a palindrome (84944948).

Subtracting from 42722224 its reverse (42222724), we obtain a triangular number (499500 = T999).

The spelling of 42722224 in words is "forty-two million, seven hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 6829 13658 27316 54632 109264 116093 157067 232186 314134 464372 628268 928744 1256536 1857488 2513072 2670139 5340278 10680556 21361112 42722224