Search a number
-
+
4312224 = 253372331
BaseRepresentation
bin10000011100110010100000
322010002021000
4100130302200
52100442344
6232232000
751440040
oct20346240
98102230
104312224
112485924
12153b600
13b7ca17
14803720
155a2a69
hex41cca0

4312224 has 192 divisors, whose sum is σ = 15482880. Its totient is φ = 1140480.

The previous prime is 4312223. The next prime is 4312229. The reversal of 4312224 is 4222134.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 4312197 and 4312206.

It is not an unprimeable number, because it can be changed into a prime (4312223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139089 + ... + 139119.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

Almost surely, 24312224 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 4312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

4312224 is an abundant number, since it is smaller than the sum of its proper divisors (11170656).

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

4312224 is a wasteful number, since it uses less digits than its factorization.

4312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4312224 is about 2076.5895116753. The cubic root of 4312224 is about 162.7672792714.

Adding to 4312224 its reverse (4222134), we get a palindrome (8534358).

The spelling of 4312224 in words is "four million, three hundred twelve thousand, two hundred twenty-four".