Search a number
-
+
54224324000 = 2553711176053
BaseRepresentation
bin110010100000000001…
…011000010110100000
312011221222122001202022
4302200001120112200
51342022411332000
640524343241012
73626505102110
oct624001302640
9164858561668
1054224324000
1120aa6243210
12a613749168
135161cb4022
1428a5799040
15162567b585
hexca00585a0

54224324000 has 192 divisors, whose sum is σ = 166104836352. Its totient is φ = 16900992000.

The previous prime is 54224323997. The next prime is 54224324039. The reversal of 54224324000 is 42342245.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219974 + ... + 396026.

It is an arithmetic number, because the mean of its divisors is an integer number (865129356).

Almost surely, 254224324000 is an apocalyptic number.

54224324000 is a gapful number since it is divisible by the number (50) 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 54224324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83052418176).

54224324000 is an abundant number, since it is smaller than the sum of its proper divisors (111880512352).

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

54224324000 is a wasteful number, since it uses less digits than its factorization.

54224324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176096 (or 176078 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 54224324000 its reverse (42342245), we get a palindrome (54266666245).

The spelling of 54224324000 in words is "fifty-four billion, two hundred twenty-four million, three hundred twenty-four thousand".