Search a number
-
+
424223124 = 22313316091
BaseRepresentation
bin11001010010010…
…010000110010100
31002120020202201120
4121102102012110
51332100114444
6110032323540
713340560053
oct3122220624
91076222646
10424223124
111a8510126
12ba0a35b0
1369b73000
14404ac39a
152739ab19
hex19492194

424223124 has 48 divisors (see below), whose sum is σ = 1072370880. Its totient is φ = 130522080.

The previous prime is 424223123. The next prime is 424223147. The reversal of 424223124 is 421322424.

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 = 424223094 and 424223103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18319 + ... + 34409.

It is an arithmetic number, because the mean of its divisors is an integer number (22341060).

Almost surely, 2424223124 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 424223124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536185440).

424223124 is an abundant number, since it is smaller than the sum of its proper divisors (648147756).

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

424223124 is a wasteful number, since it uses less digits than its factorization.

424223124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137 (or 16109 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 424223124 is about 20596.6774990531. The cubic root of 424223124 is about 751.3889072168.

Adding to 424223124 its reverse (421322424), we get a palindrome (845545548).

The spelling of 424223124 in words is "four hundred twenty-four million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2197 4394 6591 8788 13182 16091 26364 32182 48273 64364 96546 193092 209183 418366 627549 836732 1255098 2510196 2719379 5438758 8158137 10877516 16316274 32632548 35351927 70703854 106055781 141407708 212111562 424223124