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225060601761 = 3373911279537
BaseRepresentation
bin1101000110011010101…
…0000011111110100001
3210111220212020011022000
43101212222003332201
512141411003224021
6251220313434213
722155132356622
oct3214652037641
9714825204260
10225060601761
11874a192a226
123775040b969
13182b9283508
14ac70521a49
155cc3617b26
hex3466a83fa1

225060601761 has 16 divisors (see below), whose sum is σ = 333874324800. Its totient is φ = 149837356224.

The previous prime is 225060601757. The next prime is 225060601771. The reversal of 225060601761 is 167106060522.

It is a happy number.

225060601761 is a `hidden beast` number, since 22 + 506 + 0 + 60 + 1 + 76 + 1 = 666.

225060601761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225060601761 - 22 = 225060601757 is a prime.

It is a super-2 number, since 2×2250606017612 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225060601771) 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 15 ways as a sum of consecutive naturals, for example, 5619816 + ... + 5659721.

It is an arithmetic number, because the mean of its divisors is an integer number (20867145300).

Almost surely, 2225060601761 is an apocalyptic number.

It is an amenable number.

225060601761 is a deficient number, since it is larger than the sum of its proper divisors (108813723039).

225060601761 is a wasteful number, since it uses less digits than its factorization.

225060601761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280285 (or 11280279 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 225060601761 in words is "two hundred twenty-five billion, sixty million, six hundred one thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 739 2217 6651 19953 11279537 33838611 101515833 304547499 8335577843 25006733529 75020200587 225060601761