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2022422204400 = 2435213863150223
BaseRepresentation
bin11101011011100001110…
…000011100111111110000
321011100020002011211222220
4131123201300130333300
5231113410041020100
64145030554401040
7266054336045253
oct35334160347760
97140202154886
102022422204400
1170a782678924
12287b61130180
13118937a00540
146dc5873509a
153791b708aa0
hex1d6e1c1cff0

2022422204400 has 240 divisors, whose sum is σ = 6984968933376. Its totient is φ = 497246837760.

The previous prime is 2022422204333. The next prime is 2022422204437. The reversal of 2022422204400 is 44022242202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13387689 + ... + 13537911.

Almost surely, 22022422204400 is an apocalyptic number.

2022422204400 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 2022422204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492484466688).

2022422204400 is an abundant number, since it is smaller than the sum of its proper divisors (4962546728976).

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

2022422204400 is a wasteful number, since it uses less digits than its factorization.

2022422204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151120 (or 151109 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2022422204400 its reverse (44022242202), we get a palindrome (2066444446602).

The spelling of 2022422204400 in words is "two trillion, twenty-two billion, four hundred twenty-two million, two hundred four thousand, four hundred".