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2022213011040 = 2532531121132137
BaseRepresentation
bin11101011011010101010…
…010011100011001100000
321011022200111112201122200
4131123111102130121200
5231112443012323130
64144554122533200
7266046215661135
oct35332522343140
97138614481580
102022213011040
1170a685586852
12287b03067200
131189035778a1
146dc38a3c58c
1537908185760
hex1d6d549c660

2022213011040 has 288 divisors, whose sum is σ = 6929508470976. Its totient is φ = 537017057280.

The previous prime is 2022213011009. The next prime is 2022213011057. The reversal of 2022213011040 is 401103122202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946284852 + ... + 946286988.

It is an arithmetic number, because the mean of its divisors is an integer number (24060793302).

Almost surely, 22022213011040 is an apocalyptic number.

2022213011040 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 2022213011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464754235488).

2022213011040 is an abundant number, since it is smaller than the sum of its proper divisors (4907295459936).

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

2022213011040 is a wasteful number, since it uses less digits than its factorization.

2022213011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2022213011040 its reverse (401103122202), we get a palindrome (2423316133242).

The spelling of 2022213011040 in words is "two trillion, twenty-two billion, two hundred thirteen million, eleven thousand, forty".