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5228720640 = 293351113232
BaseRepresentation
bin1001101111010011…
…11111001000000000
3111111101202112022000
410313221333020000
541202023030030
62222501344000
7243400251333
oct46751771000
914441675260
105228720640
112243527230
12101b108000
13654360750
143785dc61a
15209085860
hex137a7f200

5228720640 has 960 divisors, whose sum is σ = 22809790080. Its totient is φ = 1119191040.

The previous prime is 5228720633. The next prime is 5228720747. The reversal of 5228720640 is 460278225.

5228720640 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 7 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5228720595 and 5228720604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227335669 + ... + 227335691.

It is an arithmetic number, because the mean of its divisors is an integer number (23760198).

Almost surely, 25228720640 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 5228720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404895040).

5228720640 is an abundant number, since it is smaller than the sum of its proper divisors (17581069440).

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

5228720640 is a wasteful number, since it uses less digits than its factorization.

5228720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5228720640 is about 72309.8930990774. The cubic root of 5228720640 is about 1735.6619642381.

Adding to 5228720640 its reverse (460278225), we get a palindrome (5688998865).

It can be divided in two parts, 52287 and 20640, that added together give a palindrome (72927).

The spelling of 5228720640 in words is "five billion, two hundred twenty-eight million, seven hundred twenty thousand, six hundred forty".