Search a number
-
+
226471577217741 = 3243227758211537
BaseRepresentation
bin110011011111100110000101…
…111010010110101011001101
31002200212110201121100212222200
4303133212011322112223031
5214141002242231431431
62121355334543032113
765463013543144002
oct6337460572265315
91080773647325880
10226471577217741
1166185069268239
1221497860b9b639
13994a2413754cb
143dcd3d60cd8a9
151b2b0a35b5ee6
hexcdf985e96acd

226471577217741 has 12 divisors (see below), whose sum is σ = 327126373906332. Its totient is φ = 150980699615616.

The previous prime is 226471577217731. The next prime is 226471577217799. The reversal of 226471577217741 is 147712775174622.

226471577217741 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 7 + 1 + 577 + 2 + 17 + 7 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88359135202116 + 138112442015625 = 9399954^2 + 11752125^2 .

It is not a de Polignac number, because 226471577217741 - 217 = 226471577086669 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226471577217731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25215276 + ... + 32996261.

It is an arithmetic number, because the mean of its divisors is an integer number (27260531158861).

Almost surely, 2226471577217741 is an apocalyptic number.

It is an amenable number.

226471577217741 is a deficient number, since it is larger than the sum of its proper divisors (100654796688591).

226471577217741 is a wasteful number, since it uses less digits than its factorization.

226471577217741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58643820 (or 58643817 counting only the distinct ones).

The product of its digits is 64538880, while the sum is 63.

The spelling of 226471577217741 in words is "two hundred twenty-six trillion, four hundred seventy-one billion, five hundred seventy-seven million, two hundred seventeen thousand, seven hundred forty-one".

Divisors: 1 3 9 432277 1296831 3890493 58211537 174634611 523903833 25163508579749 75490525739247 226471577217741