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22323321230112 = 253273713182833
BaseRepresentation
bin1010001001101100011011…
…01000011101001100100000
32221001002101122020121211100
411010312031220131030200
510411221130213330422
6115251105303114400
74462543465443000
oct504661550351440
987032348217740
1022323321230112
1171272a3959511
1226064ab142a00
13c5c107157c46
1457265127a000
1528aa32b367ac
hex144d8da1d320

22323321230112 has 288 divisors, whose sum is σ = 75074142124800. Its totient is φ = 6288257525760.

The previous prime is 22323321230071. The next prime is 22323321230141. The reversal of 22323321230112 is 21103212332322.

22323321230112 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 332 + 12 + 301 + 12 = 666.

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

It is a super-3 number, since 3×223233212301123 (a number of 41 digits) contains 333 as substring.

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, 5422248 + ... + 8605080.

It is an arithmetic number, because the mean of its divisors is an integer number (260674104600).

Almost surely, 222323321230112 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 22323321230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537071062400).

22323321230112 is an abundant number, since it is smaller than the sum of its proper divisors (52750820894688).

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

22323321230112 is a wasteful number, since it uses less digits than its factorization.

22323321230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182941 (or 3182916 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22323321230112 its reverse (21103212332322), we get a palindrome (43426533562434).

The spelling of 22323321230112 in words is "twenty-two trillion, three hundred twenty-three billion, three hundred twenty-one million, two hundred thirty thousand, one hundred twelve".