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22434040312241 = 222189331130737
BaseRepresentation
bin1010001100111010101010…
…00000001111000110110001
32221102200011211201202102212
411012131111000033012301
510420024403304442431
6115414020021221505
74503543301221545
oct506352500170661
987380154652385
1022434040312241
11716a24a9a1678
122623a4a861895
13c696a061591c
14577b55b63a25
1528d862e2072b
hex14675500f1b1

22434040312241 has 8 divisors (see below), whose sum is σ = 22446673534824. Its totient is φ = 22421409373440.

The previous prime is 22434040312213. The next prime is 22434040312249. The reversal of 22434040312241 is 14221304043422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 565285941025 + 21868754371216 = 751855^2 + 4676404^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22434040312241 - 222 = 22434036117937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22434040312198 and 22434040312207.

It is not an unprimeable number, because it can be changed into a prime (22434040312249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19274825 + ... + 20405561.

It is an arithmetic number, because the mean of its divisors is an integer number (2805834191853).

Almost surely, 222434040312241 is an apocalyptic number.

It is an amenable number.

22434040312241 is a deficient number, since it is larger than the sum of its proper divisors (12633222583).

22434040312241 is a wasteful number, since it uses less digits than its factorization.

22434040312241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141891.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 22434040312241 its reverse (14221304043422), we get a palindrome (36655344355663).

The spelling of 22434040312241 in words is "twenty-two trillion, four hundred thirty-four billion, forty million, three hundred twelve thousand, two hundred forty-one".

Divisors: 1 2221 8933 1130737 19840193 2511366877 10100873621 22434040312241