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200212220002220 = 225614491291128309
BaseRepresentation
bin101101100001011110001010…
…010000001011111110101100
3222020220002201212000011201122
4231201132022100023332230
5202220234111310032340
61545452120224400112
760112566311501246
oct5541361220137654
9866802655004648
10200212220002220
1158880586740038
121a556577476038
138793c151b12aa
143762474a31096
151822ea523edb5
hexb6178a40bfac

200212220002220 has 96 divisors (see below), whose sum is σ = 428338272096000. Its totient is φ = 78587718451200.

The previous prime is 200212220002189. The next prime is 200212220002231. The reversal of 200212220002220 is 22200022212002.

200212220002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7072373426 + ... + 7072401734.

It is an arithmetic number, because the mean of its divisors is an integer number (4461857001000).

Almost surely, 2200212220002220 is an apocalyptic number.

200212220002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212220002220 is an abundant number, since it is smaller than the sum of its proper divisors (228126052093780).

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

200212220002220 is a wasteful number, since it uses less digits than its factorization.

200212220002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41739 (or 41737 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 200212220002220 its reverse (22200022212002), we get a palindrome (222412242214222).

The spelling of 200212220002220 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 449 610 898 1220 1796 2245 4490 8980 12911 25822 27389 28309 51644 54778 56618 64555 109556 113236 129110 136945 141545 258220 273890 283090 547780 566180 787571 1575142 1726849 3150284 3453698 3937855 5797039 6907396 7875710 8634245 11594078 12710741 15751420 17268490 23188156 25421482 28985195 34536980 50842964 57970390 63553705 115940780 127107410 254214820 353619379 365497499 707238758 730994998 775355201 1414477516 1461989996 1550710402 1768096895 1827487495 3101420804 3536193790 3654974990 3876776005 7072387580 7309949980 7753552010 15507104020 22295347439 44590694878 89181389756 111476737195 164108377051 222953474390 328216754102 445906948780 656433508204 820541885255 1641083770510 3282167541020 10010611000111 20021222000222 40042444000444 50053055000555 100106110001110 200212220002220