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2022424200000 = 263455127983
BaseRepresentation
bin11101011011100001111…
…000000100001101000000
321011100020012221020110000
4131123201320010031000
5231113411043400000
64145031105240000
7266054362026321
oct35334170041500
97140205836400
102022424200000
1170a783811186
12287b61933000
1311893824b979
146dc58ad4448
153791b9a0000
hex1d6e1e04340

2022424200000 has 840 divisors, whose sum is σ = 7560080123904. Its totient is φ = 534522240000.

The previous prime is 2022424199933. The next prime is 2022424200001. The reversal of 2022424200000 is 24242202.

2022424200000 is a `hidden beast` number, since 2 + 0 + 2 + 242 + 420 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022424200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2057399509 + ... + 2057400491.

Almost surely, 22022424200000 is an apocalyptic number.

2022424200000 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 2022424200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780040061952).

2022424200000 is an abundant number, since it is smaller than the sum of its proper divisors (5537655923904).

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

2022424200000 is an frugal number, since it uses more digits than its factorization.

2022424200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2022424200000 its reverse (24242202), we get a palindrome (2022448442202).

The spelling of 2022424200000 in words is "two trillion, twenty-two billion, four hundred twenty-four million, two hundred thousand".