Search a number
-
+
225061105221 = 32809111727673
BaseRepresentation
bin1101000110011010101…
…1111110111001000101
3210111220220011201220200
43101212223332321011
512141411120331341
6251220332321113
722155136554501
oct3214653767105
9714826151820
10225061105221
11874a2143507
1237750613199
13182b93cb714
14ac70613301
155cc36b6db6
hex3466afee45

225061105221 has 24 divisors (see below), whose sum is σ = 325793271960. Its totient is φ = 149715703296.

The previous prime is 225061105219. The next prime is 225061105277. The reversal of 225061105221 is 122501160522.

225061105221 is a `hidden beast` number, since 2 + 25 + 0 + 6 + 110 + 522 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129072321 + 224932032900 = 11361^2 + 474270^2 .

It is not a de Polignac number, because 225061105221 - 21 = 225061105219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225061105211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8119041 + ... + 8146713.

It is an arithmetic number, because the mean of its divisors is an integer number (13574719665).

Almost surely, 2225061105221 is an apocalyptic number.

It is an amenable number.

225061105221 is a deficient number, since it is larger than the sum of its proper divisors (100732166739).

225061105221 is a wasteful number, since it uses less digits than its factorization.

225061105221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29605 (or 29602 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 225061105221 its reverse (122501160522), we get a palindrome (347562265743).

The spelling of 225061105221 in words is "two hundred twenty-five billion, sixty-one million, one hundred five thousand, two hundred twenty-one".

Divisors: 1 3 9 809 1117 2427 3351 7281 10053 27673 83019 249057 903653 2710959 8132877 22387457 30910741 67162371 92732223 201487113 278196669 25006789469 75020368407 225061105221