Search a number
-
+
2022240220000 = 255471113831217
BaseRepresentation
bin11101011011010110111…
…010001111001101100000
321011022202101202002022221
4131123112322033031200
5231113021444020000
64145000534040424
7266046666153430
oct35332672171540
97138671662287
102022240220000
1170a6999802a0
12287b101a9114
131189090b3370
146dc3c4c22c0
153790a75c61a
hex1d6d6e8f360

2022240220000 has 960 divisors, whose sum is σ = 6765773059584. Its totient is φ = 574341120000.

The previous prime is 2022240219983. The next prime is 2022240220001. The reversal of 2022240220000 is 220422202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022240220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1661659392 + ... + 1661660608.

Almost surely, 22022240220000 is an apocalyptic number.

2022240220000 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 2022240220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382886529792).

2022240220000 is an abundant number, since it is smaller than the sum of its proper divisors (4743532839584).

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

2022240220000 is a wasteful number, since it uses less digits than its factorization.

2022240220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2022240220000 its reverse (220422202), we get a palindrome (2022460642202).

The spelling of 2022240220000 in words is "two trillion, twenty-two billion, two hundred forty million, two hundred twenty thousand".