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222230302020 = 2232531101394319
BaseRepresentation
bin1100111011110111110…
…1010100110101000100
3210020121121112000221200
43032331331110311010
512120111424131040
6250031410342500
722025034254106
oct3167575246504
9706547460850
10222230302020
118627a237131
12370a058aa30
1317c57aa7a3c
14aa82691576
155ba9de5630
hex33bdf54d44

222230302020 has 144 divisors (see below), whose sum is σ = 702735022080. Its totient is φ = 56781792000.

The previous prime is 222230301991. The next prime is 222230302061. The reversal of 222230302020 is 20203032222.

222230302020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 222230301984 and 222230302002.

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, 366421 + ... + 760739.

It is an arithmetic number, because the mean of its divisors is an integer number (4880104320).

Almost surely, 2222230302020 is an apocalyptic number.

222230302020 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 222230302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351367511040).

222230302020 is an abundant number, since it is smaller than the sum of its proper divisors (480504720060).

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

222230302020 is a wasteful number, since it uses less digits than its factorization.

222230302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394466 (or 394461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 222230302020 its reverse (20203032222), we get a palindrome (242433334242).

The spelling of 222230302020 in words is "two hundred twenty-two billion, two hundred thirty million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 101 124 155 180 186 202 279 303 310 372 404 465 505 558 606 620 909 930 1010 1116 1212 1395 1515 1818 1860 2020 2790 3030 3131 3636 4545 5580 6060 6262 9090 9393 12524 15655 18180 18786 28179 31310 37572 46965 56358 62620 93930 112716 140895 187860 281790 394319 563580 788638 1182957 1577276 1971595 2365914 3548871 3943190 4731828 5914785 7097742 7886380 11829570 12223889 14195484 17744355 23659140 24447778 35488710 36671667 39826219 48895556 61119445 70977420 73343334 79652438 110015001 119478657 122238890 146686668 159304876 183358335 199131095 220030002 238957314 244477780 358435971 366716670 398262190 440060004 477914628 550075005 597393285 716871942 733433340 796524380 1100150010 1194786570 1234612789 1433743884 1792179855 2200300020 2389573140 2469225578 3584359710 3703838367 4938451156 6173063945 7168719420 7407676734 11111515101 12346127890 14815353468 18519191835 22223030202 24692255780 37038383670 44446060404 55557575505 74076767340 111115151010 222230302020