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222023111220 = 223255934636037
BaseRepresentation
bin1100111011000110011…
…0111101001000110100
3210020002011122122121100
43032301212331020310
512114200404024340
6245555045450100
722016640210231
oct3166146751064
9706064578540
10222023111220
1186183292669
1237043110930
1317c23ba3731
14aa62d5a788
155b96b1a830
hex33b19bd234

222023111220 has 144 divisors (see below), whose sum is σ = 685196104320. Its totient is φ = 58176223488.

The previous prime is 222023111213. The next prime is 222023111239. The reversal of 222023111220 is 22111320222.

222023111220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2220231112203 (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 = 222023111193 and 222023111202.

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, 36774042 + ... + 36780078.

It is an arithmetic number, because the mean of its divisors is an integer number (4758306280).

Almost surely, 2222023111220 is an apocalyptic number.

222023111220 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 222023111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342598052160).

222023111220 is an abundant number, since it is smaller than the sum of its proper divisors (463172993100).

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

222023111220 is a wasteful number, since it uses less digits than its factorization.

222023111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222023111220 its reverse (22111320222), we get a palindrome (244134431442).

The spelling of 222023111220 in words is "two hundred twenty-two billion, twenty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3463 3540 5310 6037 6926 10389 10620 12074 13852 17315 18111 20778 24148 30185 31167 34630 36222 41556 51945 54333 60370 62334 69260 72444 90555 103890 108666 120740 124668 155835 181110 204317 207780 217332 271665 311670 356183 362220 408634 543330 612951 623340 712366 817268 1021585 1068549 1086660 1225902 1424732 1780915 1838853 2043170 2137098 2451804 3064755 3205647 3561830 3677706 4086340 4274196 5342745 6129510 6411294 7123660 7355412 9194265 10685490 12259020 12822588 16028235 18388530 20906131 21370980 32056470 36777060 41812262 62718393 64112940 83624524 104530655 125436786 188155179 209061310 250873572 313591965 376310358 418122620 627183930 752620716 940775895 1233461729 1254367860 1881551790 2466923458 3700385187 3763103580 4933846916 6167308645 7400770374 11101155561 12334617290 14801540748 18501925935 22202311122 24669234580 37003851870 44404622244 55505777805 74007703740 111011555610 222023111220