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2023222422240 = 253251799378377
BaseRepresentation
bin11101011100010001011…
…101000010101011100000
321011102021211221010111200
4131130101131002223200
5231122024420002430
64145242222041200
7266113223560005
oct35342135025340
97142254833450
102023222422240
11710053348388
12288145119200
13118a3472b616
146dcd2b198ac
1537966ac5460
hex1d711742ae0

2023222422240 has 288 divisors, whose sum is σ = 6951057029280. Its totient is φ = 535875305472.

The previous prime is 2023222422229. The next prime is 2023222422253. The reversal of 2023222422240 is 422242223202.

2023222422240 is a `hidden beast` number, since 2 + 0 + 232 + 2 + 2 + 422 + 2 + 4 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 241516932 + ... + 241525308.

It is an arithmetic number, because the mean of its divisors is an integer number (24135614685).

Almost surely, 22023222422240 is an apocalyptic number.

2023222422240 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 2023222422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475528514640).

2023222422240 is an abundant number, since it is smaller than the sum of its proper divisors (4927834607040).

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

2023222422240 is a wasteful number, since it uses less digits than its factorization.

2023222422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2023222422240 its reverse (422242223202), we get a palindrome (2445464645442).

The spelling of 2023222422240 in words is "two trillion, twenty-three billion, two hundred twenty-two million, four hundred twenty-two thousand, two hundred forty".