Search a number
-
+
12422326224 = 24371117211937
BaseRepresentation
bin10111001000110110…
…11010011111010000
31012001201210120000110
423210123122133100
5200420103414344
65412353321320
7616560013350
oct134433323720
935051716013
1012422326224
1152a5096610
1224a8266240
13122c7c22b9
1485bb54b60
154ca8943b9
hex2e46da7d0

12422326224 has 320 divisors, whose sum is σ = 42609272832. Its totient is φ = 3019161600.

The previous prime is 12422326193. The next prime is 12422326237. The reversal of 12422326224 is 42262322421.

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 = 12422326191 and 12422326200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13257084 + ... + 13258020.

Almost surely, 212422326224 is an apocalyptic number.

12422326224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422326224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304636416).

12422326224 is an abundant number, since it is smaller than the sum of its proper divisors (30186946608).

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

12422326224 is a wasteful number, since it uses less digits than its factorization.

12422326224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 12422326224 its reverse (42262322421), we get a palindrome (54684648645).

The spelling of 12422326224 in words is "twelve billion, four hundred twenty-two million, three hundred twenty-six thousand, two hundred twenty-four".