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23341422841 = 112172192432
BaseRepresentation
bin10101101111010000…
…011101100011111001
32020020201000010200021
4111233100131203321
5340300401012331
614420051410441
71454264551312
oct255720354371
966221003607
1023341422841
119998696500
124634bb3a21
13227ca31309
1411b5da5609
159192a2211
hex56f41d8f9

23341422841 has 81 divisors (see below), whose sum is σ = 29448664623. Its totient is φ = 18480147840.

The previous prime is 23341422829. The next prime is 23341422847. The reversal of 23341422841 is 14822414332.

The square root of 23341422841 is 152779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18172388025 + 5169034816 = 134805^2 + 71896^2 .

It is not a de Polignac number, because 23341422841 - 215 = 23341390073 is a prime.

It is a super-2 number, since 2×233414228412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23341422797 and 23341422806.

It is not an unprimeable number, because it can be changed into a prime (23341422847) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 542823766 + ... + 542823808.

Almost surely, 223341422841 is an apocalyptic number.

23341422841 is the 152779-th square number.

23341422841 is the 76390-th centered octagonal number.

It is an amenable number.

23341422841 is a deficient number, since it is larger than the sum of its proper divisors (6107241782).

23341422841 is a wasteful number, since it uses less digits than its factorization.

23341422841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Multiplying 23341422841 by its product of digits (36864), we get a square (860458211610624 = 293335682).

The spelling of 23341422841 in words is "twenty-three billion, three hundred forty-one million, four hundred twenty-two thousand, eight hundred forty-one".

Divisors: 1 11 17 19 43 121 187 209 289 323 361 473 731 817 1849 2057 2299 3179 3553 3971 5203 5491 6137 8041 8987 12427 13889 15523 20339 31433 34969 35131 39083 43681 60401 67507 88451 98857 104329 136697 152779 170753 223729 236113 263891 345763 386441 534361 597227 664411 667489 742577 1147619 1503667 1680569 1878283 2597243 2902801 3803393 4250851 4486147 5877971 6569497 7342379 10152859 11347313 12623809 28569673 31930811 49347617 64657681 72264467 80766169 111681449 124820443 192904321 542823787 1228495939 1373024873 2121947531 23341422841