Search a number
-
+
220443050016 = 2534742128859
BaseRepresentation
bin1100110101001101101…
…1100000000000100000
3210002000001111020010000
43031103123200000200
512102431410100031
6245134203340000
721632533002630
oct3152333400040
9702001436100
10220443050016
118554239a262
1236881b21600
1317a3172c287
14a9531766c0
155b030593e6
hex33536e0020

220443050016 has 240 divisors, whose sum is σ = 742719257280. Its totient is φ = 62831946240.

The previous prime is 220443049907. The next prime is 220443050021. The reversal of 220443050016 is 610050344022.

220443050016 is a `hidden beast` number, since 220 + 4 + 430 + 5 + 0 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7624195 + ... + 7653053.

It is an arithmetic number, because the mean of its divisors is an integer number (3094663572).

Almost surely, 2220443050016 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 220443050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371359628640).

220443050016 is an abundant number, since it is smaller than the sum of its proper divisors (522276207264).

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

220443050016 is a wasteful number, since it uses less digits than its factorization.

220443050016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29309 (or 29292 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 220443050016 its reverse (610050344022), we get a palindrome (830493394038).

The spelling of 220443050016 in words is "two hundred twenty billion, four hundred forty-three million, fifty thousand, sixteen".