Search a number
-
+
24403120224 = 2537791393307
BaseRepresentation
bin10110101110100010…
…100001000001100000
32022222200202221200120
4112232202201001200
5344434144321344
615113255320240
71522506046050
oct265642410140
968880687616
1024403120224
11a392a1a45a
124890680080
1323bb990c12
141276db3560
1597c5be219
hex5ae8a1060

24403120224 has 192 divisors, whose sum is σ = 74691993600. Its totient is φ = 6832470528.

The previous prime is 24403120153. The next prime is 24403120229. The reversal of 24403120224 is 42202130442.

It is a super-4 number, since 4×244031202244 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 24403120194 and 24403120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24403120229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7377579 + ... + 7380885.

It is an arithmetic number, because the mean of its divisors is an integer number (389020800).

Almost surely, 224403120224 is an apocalyptic number.

24403120224 is a gapful number since it is divisible by the number (24) 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 24403120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37345996800).

24403120224 is an abundant number, since it is smaller than the sum of its proper divisors (50288873376).

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

24403120224 is a wasteful number, since it uses less digits than its factorization.

24403120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24403120224 its reverse (42202130442), we get a palindrome (66605250666).

The spelling of 24403120224 in words is "twenty-four billion, four hundred three million, one hundred twenty thousand, two hundred twenty-four".