Search a number
-
+
226666516211761 = 419332935923597
BaseRepresentation
bin110011100010011011101001…
…001011100110100000110001
31002201120002220020110211110011
4303202123221023212200301
5214202201011122234021
62122025054322134521
765513054401226353
oct6342335113464061
91081502806424404
10226666516211761
116624a80324376a
12215095a57b1441
139962739cc5c92
143dd8a09d8d0d3
151b311b2582de1
hexce26e92e6831

226666516211761 has 8 divisors (see below), whose sum is σ = 232195255816104. Its totient is φ = 221137790321280.

The previous prime is 226666516211753. The next prime is 226666516211791. The reversal of 226666516211761 is 167112615666622.

It can be written as a sum of positive squares in 4 ways, for example, as 15649492931136 + 211017023280625 = 3955944^2 + 14526425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 226666516211761 - 23 = 226666516211753 is a prime.

It is a super-2 number, since 2×2266665162117612 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226666516211696 and 226666516211705.

It is not an unprimeable number, because it can be changed into a prime (226666516211701) 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 7 ways as a sum of consecutive naturals, for example, 35303215 + ... + 41226811.

It is an arithmetic number, because the mean of its divisors is an integer number (29024406977013).

Almost surely, 2226666516211761 is an apocalyptic number.

It is an amenable number.

226666516211761 is a deficient number, since it is larger than the sum of its proper divisors (5528739604343).

226666516211761 is an equidigital number, since it uses as much as digits as its factorization.

226666516211761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856931.

The product of its digits is 13063680, while the sum is 58.

The spelling of 226666516211761 in words is "two hundred twenty-six trillion, six hundred sixty-six billion, five hundred sixteen million, two hundred eleven thousand, seven hundred sixty-one".

Divisors: 1 41 933293 5923597 38265013 242867477 5528451614921 226666516211761