Search a number
-
+
22105779961 = 181605320177
BaseRepresentation
bin10100100101100110…
…110110111011111001
32010001120220222022011
4110211212312323321
5330233034424321
614053311325521
71411542013036
oct244546667371
963046828264
1022105779961
119414155741
12434b2208a1
132113a3a595
1410d9c3838d
15895a75ae1
hex5259b6ef9

22105779961 has 8 divisors (see below), whose sum is σ = 22232685384. Its totient is φ = 21978927360.

The previous prime is 22105779959. The next prime is 22105779973. The reversal of 22105779961 is 16997750122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 235806736 + 21869973225 = 15356^2 + 147885^2 .

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 22105779961 - 21 = 22105779959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22105779991) 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, 1085505 + ... + 1105681.

It is an arithmetic number, because the mean of its divisors is an integer number (2779085673).

Almost surely, 222105779961 is an apocalyptic number.

It is an amenable number.

22105779961 is a deficient number, since it is larger than the sum of its proper divisors (126905423).

22105779961 is a wasteful number, since it uses less digits than its factorization.

22105779961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26411.

The product of its (nonzero) digits is 476280, while the sum is 49.

The spelling of 22105779961 in words is "twenty-two billion, one hundred five million, seven hundred seventy-nine thousand, nine hundred sixty-one".

Divisors: 1 181 6053 20177 1095593 3652037 122131381 22105779961