Search a number
-
+
4224332424 = 2331337336299
BaseRepresentation
bin1111101111001010…
…0011001010001000
3101220101211022200110
43323302203022020
532122412114144
61535102034320
7206453142654
oct37362431210
911811738613
104224332424
111878586524
1299a8789a0
135242480b0
142c106ba64
1519acd90b9
hexfbca3288

4224332424 has 64 divisors (see below), whose sum is σ = 11404008000. Its totient is φ = 1296274176.

The previous prime is 4224332417. The next prime is 4224332429. The reversal of 4224332424 is 4242334224.

4224332424 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 junction number, because it is equal to n+sod(n) for n = 4224332391 and 4224332400.

It is not an unprimeable number, because it can be changed into a prime (4224332429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98227 + ... + 134525.

It is an arithmetic number, because the mean of its divisors is an integer number (178187625).

Almost surely, 24224332424 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 4224332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702004000).

4224332424 is an abundant number, since it is smaller than the sum of its proper divisors (7179675576).

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

4224332424 is a wasteful number, since it uses less digits than its factorization.

4224332424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36694 (or 36690 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 4224332424 is about 64994.8645971357. The cubic root of 4224332424 is about 1616.5384126028.

Adding to 4224332424 its reverse (4242334224), we get a palindrome (8466666648).

The spelling of 4224332424 in words is "four billion, two hundred twenty-four million, three hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 373 746 1119 1492 2238 2984 4476 4849 8952 9698 14547 19396 29094 36299 38792 58188 72598 108897 116376 145196 217794 290392 435588 471887 871176 943774 1415661 1887548 2831322 3775096 5662644 11325288 13539527 27079054 40618581 54158108 81237162 108316216 162474324 176013851 324948648 352027702 528041553 704055404 1056083106 1408110808 2112166212 4224332424