Search a number
-
+
24230424120 = 23357191679091
BaseRepresentation
bin10110100100001111…
…101110111000111000
32022112122211002011120
4112210033232320320
5344110442032440
615044210025240
71515311130630
oct264417567070
968478732146
1024230424120
11a304496301
124842878220
132391c76686
14125c09b6c0
1596c359dd0
hex5a43eee38

24230424120 has 256 divisors, whose sum is σ = 87981465600. Its totient is φ = 5214896640.

The previous prime is 24230424083. The next prime is 24230424151. The reversal of 24230424120 is 2142403242.

It is a super-2 number, since 2×242304241202 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2660775 + ... + 2669865.

It is an arithmetic number, because the mean of its divisors is an integer number (343677600).

Almost surely, 224230424120 is an apocalyptic number.

24230424120 is a gapful number since it is divisible by the number (20) 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 24230424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43990732800).

24230424120 is an abundant number, since it is smaller than the sum of its proper divisors (63751041480).

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

24230424120 is a wasteful number, since it uses less digits than its factorization.

24230424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9294 counting only the distinct ones).

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

Adding to 24230424120 its reverse (2142403242), we get a palindrome (26372827362).

The spelling of 24230424120 in words is "twenty-four billion, two hundred thirty million, four hundred twenty-four thousand, one hundred twenty".