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225503682064561 = 2937597945089437
BaseRepresentation
bin110011010001100000101010…
…110111010111000010110001
31002120102221102022212122220101
4303101200222313113002301
5214024123020102031221
62115334543354512401
765333050314115315
oct6321405267270261
91076387368778811
10225503682064561
11659416357249aa
122136015aa35701
1398a9ba1568a64
143d9861787db45
151b10d0564bd91
hexcd182add70b1

225503682064561 has 32 divisors (see below), whose sum is σ = 246729404736000. Its totient is φ = 205616485331712.

The previous prime is 225503682064543. The next prime is 225503682064627. The reversal of 225503682064561 is 165460286305522.

It is not a de Polignac number, because 225503682064561 - 229 = 225503145193649 is a prime.

It is a super-2 number, since 2×2255036820645612 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225503682064501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17543466 + ... + 27545971.

It is an arithmetic number, because the mean of its divisors is an integer number (7710293898000).

Almost surely, 2225503682064561 is an apocalyptic number.

It is an amenable number.

225503682064561 is a deficient number, since it is larger than the sum of its proper divisors (21225722671439).

225503682064561 is a wasteful number, since it uses less digits than its factorization.

225503682064561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45089641.

The product of its (nonzero) digits is 20736000, while the sum is 55.

The spelling of 225503682064561 in words is "two hundred twenty-five trillion, five hundred three billion, six hundred eighty-two million, sixty-four thousand, five hundred sixty-one".

Divisors: 1 29 37 59 79 1073 1711 2183 2291 2923 4661 63307 84767 135169 172457 5001253 45089437 1307593673 1668309169 2660276783 3562065523 48380965901 77148026707 98430240971 103299900167 131796424351 210161865857 2854476988159 3822096306179 6094694109853 7775989036709 225503682064561