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2022412424032 = 2571113101362327
BaseRepresentation
bin11101011011100001001…
…011001001001101100000
321011100012101202221212001
4131123201023021031200
5231113400040032112
64145030005013344
7266054156652130
oct35334113111540
97140171687761
102022412424032
1170a7780a8780
12287b599b4254
13118935987940
146dc5730aac0
153791a925c57
hex1d6e12c9360

2022412424032 has 192 divisors, whose sum is σ = 5351320525824. Its totient is φ = 726611466240.

The previous prime is 2022412424029. The next prime is 2022412424041. The reversal of 2022412424032 is 2304242142202.

It is a happy number.

It is a super-2 number, since 2×20224124240322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32417253 + ... + 32479579.

It is an arithmetic number, because the mean of its divisors is an integer number (27871461072).

Almost surely, 22022412424032 is an apocalyptic number.

2022412424032 is a gapful number since it is divisible by the number (22) 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 2022412424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675660262912).

2022412424032 is an abundant number, since it is smaller than the sum of its proper divisors (3328908101792).

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

2022412424032 is a wasteful number, since it uses less digits than its factorization.

2022412424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63381 (or 63373 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2022412424032 its reverse (2304242142202), we get a palindrome (4326654566234).

The spelling of 2022412424032 in words is "two trillion, twenty-two billion, four hundred twelve million, four hundred twenty-four thousand, thirty-two".