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223213021020 = 2232511493322853
BaseRepresentation
bin1100111111100010001…
…0000110011101011100
3210100011002200022222200
43033320202012131130
512124120013133040
6250313113411500
722061266242063
oct3177042063534
9710132608880
10223213021020
1186733a274a0
1237315709b90
1318083574282
14ab36dc11da
155c16311630
hex33f888675c

223213021020 has 144 divisors (see below), whose sum is σ = 738814239072. Its totient is φ = 54098910720.

The previous prime is 223213021013. The next prime is 223213021043. The reversal of 223213021020 is 20120312322.

223213021020 is a `hidden beast` number, since 22 + 321 + 302 + 1 + 0 + 20 = 666.

It is a super-3 number, since 3×2232130210203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223213020984 and 223213021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9755914 + ... + 9778766.

It is an arithmetic number, because the mean of its divisors is an integer number (5130654438).

Almost surely, 2223213021020 is an apocalyptic number.

223213021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223213021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369407119536).

223213021020 is an abundant number, since it is smaller than the sum of its proper divisors (515601218052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223213021020 is a wasteful number, since it uses less digits than its factorization.

223213021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27812 (or 27807 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223213021020 its reverse (20120312322), we get a palindrome (243333333342).

It can be divided in two parts, 22321302 and 1020, that added together give a palindrome (22322322).

The spelling of 223213021020 in words is "two hundred twenty-three billion, two hundred thirteen million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4933 9866 14799 19732 22853 24665 29598 44397 45706 49330 54263 59196 68559 73995 88794 91412 98660 108526 114265 137118 147990 162789 177588 205677 217052 221985 228530 251383 271315 274236 295980 325578 342795 411354 443970 457060 488367 502766 542630 651156 685590 754149 813945 822708 887940 976734 1005532 1028385 1085260 1256915 1371180 1508298 1627890 1953468 2056770 2262447 2441835 2513830 3016596 3255780 3770745 4113540 4524894 4883670 5027660 7541490 9049788 9767340 11312235 15082980 22624470 45248940 112733849 225467698 338201547 450935396 563669245 676403094 1014604641 1127338490 1240072339 1352806188 1691007735 2029209282 2254676980 2480144678 3382015470 3720217017 4058418564 4960289356 5073023205 6200361695 6764030940 7440434034 10146046410 11160651051 12400723390 14880868068 18601085085 20292092820 22321302102 24801446780 37202170170 44642604204 55803255255 74404340340 111606510510 223213021020