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220010222223 = 3611292693517
BaseRepresentation
bin1100110011100110100…
…0011001001010001111
3210000212220001022000000
43030321220121022033
512101040104102343
6245023222335343
721616026014211
oct3147150311217
9700786038000
10220010222223
1185340042340
1236780b8a553
1317992b6585c
14a9118a85b1
155aca05ded3
hex3339a1928f

220010222223 has 112 divisors (see below), whose sum is σ = 373750912800. Its totient is φ = 128226551040.

The previous prime is 220010222213. The next prime is 220010222261. The reversal of 220010222223 is 322222010022.

220010222223 is a `hidden beast` number, since 220 + 0 + 1 + 0 + 222 + 223 = 666.

220010222223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220010222223 - 25 = 220010222191 is a prime.

It is a super-2 number, since 2×2200102222232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220010222196 and 220010222205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010222213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62554461 + ... + 62557977.

Almost surely, 2220010222223 is an apocalyptic number.

220010222223 is a deficient number, since it is larger than the sum of its proper divisors (153740690577).

220010222223 is a wasteful number, since it uses less digits than its factorization.

220010222223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220010222223 its reverse (322222010022), we get a palindrome (542232232245).

The spelling of 220010222223 in words is "two hundred twenty billion, ten million, two hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 29 33 81 87 99 243 261 269 297 319 729 783 807 891 957 2349 2421 2673 2871 2959 3517 7047 7263 7801 8019 8613 8877 10551 21141 21789 23403 25839 26631 31653 38687 65367 70209 77517 79893 85811 94959 101993 116061 196101 210627 232551 239679 257433 284877 305979 348183 631881 719037 772299 854631 917937 946073 1044549 1121923 1895643 2157111 2316897 2563893 2753811 2838219 3133647 3365769 5686929 6950691 8261433 8514657 9400941 10097307 10406803 20852073 24784299 25543971 27436117 28202823 30291921 31220409 62556219 74352897 76631913 82308351 90875763 93661227 229895739 246925053 272627289 280983681 301797287 689687217 740775159 817881867 842951043 905391861 2222325477 2528853129 2716175583 6666976431 7586559387 8148526749 20000929293 24445580247 73336740741 220010222223