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22161412341 = 322324654781
BaseRepresentation
bin10100101000111011…
…000101000011110101
32010012110121101120200
4110220323011003311
5330341310143331
614103015551113
71413115616415
oct245073050365
963173541520
1022161412341
1194425a3112
12436598b499
132122418553
14110339a645
1589a8b45e6
hex528ec50f5

22161412341 has 18 divisors (see below), whose sum is σ = 33463227798. Its totient is φ = 14131912080.

The previous prime is 22161412253. The next prime is 22161412417. The reversal of 22161412341 is 14321416122.

22161412341 is a `hidden beast` number, since 2 + 2 + 1 + 614 + 1 + 2 + 3 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11305856241 + 10855556100 = 106329^2 + 104190^2 .

It is not a de Polignac number, because 22161412341 - 214 = 22161395957 is a prime.

It is a super-2 number, since 2×221614123412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22161411341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2322630 + ... + 2332151.

It is an arithmetic number, because the mean of its divisors is an integer number (1859068211).

Almost surely, 222161412341 is an apocalyptic number.

It is an amenable number.

22161412341 is a deficient number, since it is larger than the sum of its proper divisors (11301815457).

22161412341 is a wasteful number, since it uses less digits than its factorization.

22161412341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654833 (or 4654807 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 22161412341 its reverse (14321416122), we get a palindrome (36482828463).

The spelling of 22161412341 in words is "twenty-two billion, one hundred sixty-one million, four hundred twelve thousand, three hundred forty-one".

Divisors: 1 3 9 23 69 207 529 1587 4761 4654781 13964343 41893029 107059963 321179889 963539667 2462379149 7387137447 22161412341