Search a number
-
+
6220540788 = 223721121737139
BaseRepresentation
bin1011100101100010…
…11110101101110100
3121001112001012202120
411302301132231310
5100214424301123
62505131435540
7310102503300
oct56261365564
917045035676
106220540788
112702373400
1212572b5bb0
13781995687
1443021ad00
1526619d2e3
hex172c5eb74

6220540788 has 432 divisors, whose sum is σ = 20326783680. Its totient is φ = 1468938240.

The previous prime is 6220540741. The next prime is 6220540789. The reversal of 6220540788 is 8870450226.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6220540789) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 44752023 + ... + 44752161.

It is an arithmetic number, because the mean of its divisors is an integer number (47052740).

Almost surely, 26220540788 is an apocalyptic number.

6220540788 is a gapful number since it is divisible by the number (68) 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 6220540788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163391840).

6220540788 is an abundant number, since it is smaller than the sum of its proper divisors (14106242892).

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

6220540788 is a wasteful number, since it uses less digits than its factorization.

6220540788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 6220540788 is about 78870.4050198806. The cubic root of 6220540788 is about 1839.1170925594.

The spelling of 6220540788 in words is "six billion, two hundred twenty million, five hundred forty thousand, seven hundred eighty-eight".