Search a number
-
+
12234424224 = 253113232181
BaseRepresentation
bin10110110010011101…
…00111111110100000
31011120122020010221010
423121032213332200
5200024003033344
65342002100520
7612115614201
oct133116477640
934518203833
1012234424224
115209017000
12245534a740
1311cc8b2799
14840c015a8
154b91298b9
hex2d93a7fa0

12234424224 has 288 divisors, whose sum is σ = 37131127488. Its totient is φ = 3526617600.

The previous prime is 12234424211. The next prime is 12234424261. The reversal of 12234424224 is 42242443221.

It is a happy number.

It is a super-2 number, since 2×122344242242 (a number of 21 digits) contains 22 as substring.

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 = 12234424191 and 12234424200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67593414 + ... + 67593594.

It is an arithmetic number, because the mean of its divisors is an integer number (128927526).

Almost surely, 212234424224 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 12234424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565563744).

12234424224 is an abundant number, since it is smaller than the sum of its proper divisors (24896703264).

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

12234424224 is a wasteful number, since it uses less digits than its factorization.

12234424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 220 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

Adding to 12234424224 its reverse (42242443221), we get a palindrome (54476867445).

The spelling of 12234424224 in words is "twelve billion, two hundred thirty-four million, four hundred twenty-four thousand, two hundred twenty-four".