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6422240000 = 2854114189
BaseRepresentation
bin1011111101100101…
…11001101100000000
3121120120120121001202
411332302321230000
5101123043140000
62541134520332
7315102065531
oct57662715400
917516517052
106422240000
1127a6206a70
1212b29660a8
137b46c6217
1444cd22688
15278c40dd5
hex17ecb9b00

6422240000 has 360 divisors, whose sum is σ = 18102767760. Its totient is φ = 2252800000.

The previous prime is 6422239949. The next prime is 6422240047. The reversal of 6422240000 is 422246.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72159956 + ... + 72160044.

It is an arithmetic number, because the mean of its divisors is an integer number (50285466).

Almost surely, 26422240000 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 6422240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051383880).

6422240000 is an abundant number, since it is smaller than the sum of its proper divisors (11680527760).

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

6422240000 is an equidigital number, since it uses as much as digits as its factorization.

6422240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 6422240000 is about 80138.8794531094. The cubic root of 6422240000 is about 1858.7836499545.

Adding to 6422240000 its reverse (422246), we get a palindrome (6422662246).

The spelling of 6422240000 in words is "six billion, four hundred twenty-two million, two hundred forty thousand".