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2330442022014 = 23361734996269
BaseRepresentation
bin100001111010011001001…
…010110011110001111110
322020210021111210211022000
4201322121022303301332
5301140221124201024
64542331300203130
7330240345230241
oct41723112636176
98223244724260
102330442022014
11819375848867
123177a43994a6
1313b9b51c0652
1480b18a1d258
1540947ec9cc9
hex21e992b3c7e

2330442022014 has 64 divisors (see below), whose sum is σ = 5264428680000. Its totient is φ = 763967445120.

The previous prime is 2330442022001. The next prime is 2330442022019. The reversal of 2330442022014 is 4102202440332.

2330442022014 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 4 + 420 + 220 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330442022019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24159472 + ... + 24255740.

It is an arithmetic number, because the mean of its divisors is an integer number (82256698125).

Almost surely, 22330442022014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330442022014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632214340000).

2330442022014 is an abundant number, since it is smaller than the sum of its proper divisors (2933986657986).

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

2330442022014 is a wasteful number, since it uses less digits than its factorization.

2330442022014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103690 (or 103684 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2330442022014 its reverse (4102202440332), we get a palindrome (6432644462346).

The spelling of 2330442022014 in words is "two trillion, three hundred thirty billion, four hundred forty-two million, twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 7349 14698 22047 44094 66141 96269 132282 192538 198423 288807 396846 448289 577614 866421 896578 1344867 1732842 2599263 2689734 4034601 5198526 5872409 8069202 11744818 12103803 17617227 24207606 35234454 52851681 105703362 158555043 317110086 707480881 1414961762 2122442643 4244885286 6367327929 12734655858 19101983787 38203967574 43156333741 86312667482 129469001223 258938002446 388407003669 776814007338 1165221011007 2330442022014