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5022150240 = 253512898117
BaseRepresentation
bin1001010110101011…
…11110111001100000
3110222000001122222110
410223111332321200
540241132301430
62150202035320
7235311400302
oct45325767140
913860048873
105022150240
112147966898
12b81aa8b40
13620615943
14358dc9972
151e5d7e7b0
hex12b57ee60

5022150240 has 96 divisors (see below), whose sum is σ = 15833996640. Its totient is φ = 1338036224.

The previous prime is 5022150239. The next prime is 5022150253. The reversal of 5022150240 is 420512205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614662 + ... + 622778.

It is an arithmetic number, because the mean of its divisors is an integer number (164937465).

Almost surely, 25022150240 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 5022150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916998320).

5022150240 is an abundant number, since it is smaller than the sum of its proper divisors (10811846400).

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

5022150240 is a wasteful number, since it uses less digits than its factorization.

5022150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9424 (or 9416 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5022150240 is about 70867.1308859051. The cubic root of 5022150240 is about 1712.4973189082.

Adding to 5022150240 its reverse (420512205), we get a palindrome (5442662445).

The spelling of 5022150240 in words is "five billion, twenty-two million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1289 2578 3867 5156 6445 7734 8117 10312 12890 15468 16234 19335 20624 24351 25780 30936 32468 38670 40585 41248 48702 51560 61872 64936 77340 81170 97404 103120 121755 123744 129872 154680 162340 194808 206240 243510 259744 309360 324680 389616 487020 618720 649360 779232 974040 1298720 1948080 3896160 10462813 20925626 31388439 41851252 52314065 62776878 83702504 104628130 125553756 156942195 167405008 209256260 251107512 313884390 334810016 418512520 502215024 627768780 837025040 1004430048 1255537560 1674050080 2511075120 5022150240