Search a number
-
+
22540314251 = 7131946128279
BaseRepresentation
bin10100111111100000…
…011110011010001011
32011011212120121021202
4110333200132122023
5332130310024001
614204353054415
71425366336620
oct247740363213
964155517252
1022540314251
119617468794
12445085740b
132182a80970
14113b82c347
158bdcab96b
hex53f81e68b

22540314251 has 32 divisors (see below), whose sum is σ = 29266406400. Its totient is φ = 16858212480.

The previous prime is 22540314211. The next prime is 22540314253. The reversal of 22540314251 is 15241304522.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22540314251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22540314253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782930 + ... + 811208.

It is an arithmetic number, because the mean of its divisors is an integer number (914575200).

Almost surely, 222540314251 is an apocalyptic number.

22540314251 is a deficient number, since it is larger than the sum of its proper divisors (6726092149).

22540314251 is a wasteful number, since it uses less digits than its factorization.

22540314251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28779.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 22540314251 its reverse (15241304522), we get a palindrome (37781618773).

The spelling of 22540314251 in words is "twenty-two billion, five hundred forty million, three hundred fourteen thousand, two hundred fifty-one".

Divisors: 1 7 13 19 91 133 247 461 1729 3227 5993 8759 28279 41951 61313 113867 197953 367627 537301 797069 2573389 3761107 6984913 13036619 48894391 91256333 169476047 247695761 1186332329 1733870327 3220044893 22540314251