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22105445041 = 15729472
BaseRepresentation
bin10100100101100101…
…100101001010110001
32010001120021221212201
4110211211211022301
5330232443220131
614053300223201
71411536116431
oct244545451261
963046257781
1022105445041
119413a47049
12434b09ab01
132113950cc4
1410d9b8c2c1
15895a0b761
hex5259652b1

22105445041 has 9 divisors (see below), whose sum is σ = 22270657899. Its totient is φ = 21941452104.

The previous prime is 22105445023. The next prime is 22105445053. The reversal of 22105445041 is 14054450122.

The square root of 22105445041 is 148679.

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., 6479445025 + 15626000016 = 80495^2 + 125004^2 .

It is not a de Polignac number, because 22105445041 - 25 = 22105445009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22105745041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23342130 + ... + 23343076.

Almost surely, 222105445041 is an apocalyptic number.

22105445041 is the 148679-th square number.

22105445041 is the 74340-th centered octagonal number.

It is an amenable number.

22105445041 is a deficient number, since it is larger than the sum of its proper divisors (165212858).

22105445041 is an frugal number, since it uses more digits than its factorization.

22105445041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Multiplying 22105445041 by its product of nonzero digits (6400), we get a square (141474848262400 = 118943202).

Adding to 22105445041 its reverse (14054450122), we get a palindrome (36159895163).

The spelling of 22105445041 in words is "twenty-two billion, one hundred five million, four hundred forty-five thousand, forty-one".

Divisors: 1 157 947 24649 148679 896809 23342603 140799013 22105445041