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22023410440512 = 2631383353301153
BaseRepresentation
bin1010000000111101110011…
…00011100101100101000000
32212222102021100011221202010
411000132321203211211000
510341312421033044022
6114501225354052520
74432065433004055
oct500367143454500
985872240157663
1022023410440512
117021092054318
12257834b71a140
13c39a4c962a70
14561d1dd1b02c
15282d2d1ea50c
hex1407b98e5940

22023410440512 has 224 divisors, whose sum is σ = 63688780326528. Its totient is φ = 6675802619904.

The previous prime is 22023410440489. The next prime is 22023410440531. The reversal of 22023410440512 is 21504401432022.

It is a happy number.

22023410440512 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 22023410440512.

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, 72979728 + ... + 73280880.

It is an arithmetic number, because the mean of its divisors is an integer number (284324912172).

Almost surely, 222023410440512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22023410440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31844390163264).

22023410440512 is an abundant number, since it is smaller than the sum of its proper divisors (41665369886016).

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

22023410440512 is a wasteful number, since it uses less digits than its factorization.

22023410440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301617 (or 301607 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 22023410440512 its reverse (21504401432022), we get a palindrome (43527811872534).

The spelling of 22023410440512 in words is "twenty-two trillion, twenty-three billion, four hundred ten million, four hundred forty thousand, five hundred twelve".