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223882481066209 = 721721257372
BaseRepresentation
bin110010111001111010110011…
…110000010110000011100001
31002100200221211001011212122221
4302321322303300112003201
5213321042310123104314
62112054105243031041
765104655406030400
oct6271726360260341
91070627731155587
10223882481066209
1165377032a59679
1221139b11b0b481
1397c00481b43a4
143d3dd8159b637
151ad3a6cb65824
hexcb9eb3c160e1

223882481066209 has 27 divisors (see below), whose sum is σ = 276657770953593. Its totient is φ = 180609640743168.

The previous prime is 223882481066201. The next prime is 223882481066267. The reversal of 223882481066209 is 902660184288322.

The square root of 223882481066209 is 14962703.

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

223882481066209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48753253416609 + 175129227649600 = 6982353^2 + 13233640^2 .

It is not a de Polignac number, because 223882481066209 - 23 = 223882481066201 is a prime.

It is a super-2 number, since 2×2238824810662092 (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 (223882481066201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1780498789 + ... + 1780624525.

Almost surely, 2223882481066209 is an apocalyptic number.

223882481066209 is the 14962703-rd square number.

223882481066209 is the 7481352-nd centered octagonal number.

It is an amenable number.

223882481066209 is a deficient number, since it is larger than the sum of its proper divisors (52775289887384).

223882481066209 is an frugal number, since it uses more digits than its factorization.

223882481066209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251522 (or 125761 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 61.

The spelling of 223882481066209 in words is "two hundred twenty-three trillion, eight hundred eighty-two billion, four hundred eighty-one million, sixty-six thousand, two hundred nine".

Divisors: 1 7 17 49 119 289 833 2023 14161 125737 880159 2137529 6161113 14962703 36337993 104738921 254365951 1780561657 15809793169 110668552183 268766483873 774679865281 1881365387111 4569030225841 13169557709777 31983211580887 223882481066209