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220210374423169 = 1321728328092
BaseRepresentation
bin110010000100011110111001…
…001001001011001010000001
31001212200220110121200112212201
4302010132321021023022001
5212330411321323020134
62100203125513353201
764245450235413214
oct6204367111131201
91055626417615781
10220210374423169
1164190771542229
12208462b4a08801
1395b4998006c00
143c5434bb0d77b
151a6d29d067914
hexc847b924b281

220210374423169 has 81 divisors (see below), whose sum is σ = 256710323297883. Its totient is φ = 188775369729024.

The previous prime is 220210374423167. The next prime is 220210374423199. The reversal of 220210374423169 is 961324473012022.

The square root of 220210374423169 is 14839487.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 41418710733169 + 178791663690000 = 6435737^2 + 13371300^2 .

It is not a de Polignac number, because 220210374423169 - 21 = 220210374423167 is a prime.

It is a super-2 number, since 2×2202103744231692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220210374423167) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 272200709637 + ... + 272200710445.

Almost surely, 2220210374423169 is an apocalyptic number.

220210374423169 is the 14839487-th square number.

220210374423169 is the 7419744-th centered octagonal number.

It is an amenable number.

220210374423169 is a deficient number, since it is larger than the sum of its proper divisors (36499948874714).

220210374423169 is an frugal number, since it uses more digits than its factorization.

220210374423169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 220210374423169 in words is "two hundred twenty trillion, two hundred ten billion, three hundred seventy-four million, four hundred twenty-three thousand, one hundred sixty-nine".

Divisors: 1 13 17 83 169 221 289 809 1079 1411 2873 3757 6889 10517 13753 14027 18343 23987 48841 67147 89557 117113 136721 178789 233801 238459 311831 654481 872911 1141499 1164241 1522469 1990921 2324257 3039413 4053803 5573201 8508253 11126177 11347843 14839487 19405483 19792097 25881973 39512369 54321923 72451613 94744417 110607289 144640301 189145009 192913331 252271279 336465649 706184999 923472691 941870969 1231677421 1610655089 1880323913 2458885117 3279526627 4508719609 9180404987 12005144983 15699035747 16011806473 20938516157 31965506521 58613354917 76648233353 156066884779 204087464711 272200710041 761973613921 996427033589 1303019967001 2653137041243 12953551436657 16939259571013 220210374423169