Search a number
-
+
22543120341 = 337239915233
BaseRepresentation
bin10100111111101011…
…001011011111010101
32011012001212011112000
4110333223023133111
5332132014322331
614204533145513
71425432234630
oct247753133725
964161764460
1022543120341
119619004a75
12445178b299
132183523c81
14113bd5cc17
158be1630e6
hex53facb7d5

22543120341 has 64 divisors (see below), whose sum is σ = 39875543040. Its totient is φ = 12306919680.

The previous prime is 22543120339. The next prime is 22543120409. The reversal of 22543120341 is 14302134522.

22543120341 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 312 + 0 + 341 = 666.

It is not a de Polignac number, because 22543120341 - 21 = 22543120339 is a prime.

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 (22543100341) 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 63 ways as a sum of consecutive naturals, for example, 4305261 + ... + 4310493.

It is an arithmetic number, because the mean of its divisors is an integer number (623055360).

Almost surely, 222543120341 is an apocalyptic number.

22543120341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22543120341 is a deficient number, since it is larger than the sum of its proper divisors (17332422699).

22543120341 is a wasteful number, since it uses less digits than its factorization.

22543120341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22543120341 its reverse (14302134522), we get a palindrome (36845254863).

It can be divided in two parts, 22543 and 120341, that added together give a square (142884 = 3782).

The spelling of 22543120341 in words is "twenty-two billion, five hundred forty-three million, one hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 991 1449 2973 4347 5233 6937 8919 15699 20811 22793 26757 36631 47097 62433 68379 109893 120359 141291 159551 187299 205137 329679 361077 478653 615411 842513 989037 1083231 1435959 2527539 3249693 4307877 5185903 7582617 15557709 22747851 36301321 46673127 108903963 119275769 140019381 326711889 357827307 834930383 980135667 1073481921 2504791149 3220445763 7514373447 22543120341