Search a number
-
+
5221224 = 2332127571
BaseRepresentation
bin10011111010101101101000
3100211021011200
4103322231220
52314034344
6303524200
762244141
oct23725550
910737150
105221224
112a46868
1218b9660
13110a6a8
1499cac8
156d2069
hex4fab68

5221224 has 48 divisors (see below), whose sum is σ = 14277120. Its totient is φ = 1723680.

The previous prime is 5221217. The next prime is 5221231. The reversal of 5221224 is 4221225.

It is a Cunningham number, because it is equal to 22852-1.

It is an interprime number because it is at equal distance from previous prime (5221217) and next prime (5221231).

It is a super-2 number, since 2×52212242 = 54522360116352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5221197 and 5221206.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8859 + ... + 9429.

It is an arithmetic number, because the mean of its divisors is an integer number (297440).

Almost surely, 25221224 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 5221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138560).

5221224 is an abundant number, since it is smaller than the sum of its proper divisors (9055896).

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

5221224 is a wasteful number, since it uses less digits than its factorization.

5221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 5221224 is about 2284.9997811816. Note that the first 3 decimals coincide. The cubic root of 5221224 is about 173.4832069942.

Adding to 5221224 its reverse (4221225), we get a palindrome (9442449).

Subtracting from 5221224 its reverse (4221225), we obtain a palindrome (999999).

It can be divided in two parts, 5221 and 224, that added together give a palindrome (5445).

The spelling of 5221224 in words is "five million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 571 762 1016 1142 1143 1524 1713 2284 2286 3048 3426 4568 4572 5139 6852 9144 10278 13704 20556 41112 72517 145034 217551 290068 435102 580136 652653 870204 1305306 1740408 2610612 5221224