Search a number
-
+
2022320332560 = 24351119314131721
BaseRepresentation
bin11101011011011011101…
…011110101111100010000
321011022221222111020002210
4131123123223311330100
5231113203001120220
64145012515112120
7266051661125643
oct35333353657420
97138858436083
102022320332560
1170a730119020
12287b32ba2640
1311891c882a48
146dc48db7a5a
15379127d46e0
hex1d6dbaf5f10

2022320332560 has 640 divisors, whose sum is σ = 7612792750080. Its totient is φ = 438497280000.

The previous prime is 2022320332559. The next prime is 2022320332567. The reversal of 2022320332560 is 652330232202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2022320332567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63737500 + ... + 63769220.

It is an arithmetic number, because the mean of its divisors is an integer number (11894988672).

Almost surely, 22022320332560 is an apocalyptic number.

2022320332560 is a gapful number since it is divisible by the number (20) 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 2022320332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806396375040).

2022320332560 is an abundant number, since it is smaller than the sum of its proper divisors (5590472417520).

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

2022320332560 is a wasteful number, since it uses less digits than its factorization.

2022320332560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31839 (or 31833 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 2022320332560 its reverse (652330232202), we get a palindrome (2674650564762).

The spelling of 2022320332560 in words is "two trillion, twenty-two billion, three hundred twenty million, three hundred thirty-two thousand, five hundred sixty".