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200212002022000 = 2453109918403679
BaseRepresentation
bin101101100001011101111101…
…010000101010001001110000
3222020220002011122211122002011
4231201131331100222021300
5202220233140004201000
61545452042440332304
760112561023626353
oct5541357520521160
9866802148748064
10200212002022000
11588804846972a1
121a556516474094
138793babca0007
143762453acc29a
151822e910332ba
hexb6177d42a270

200212002022000 has 80 divisors (see below), whose sum is σ = 488554021612800. Its totient is φ = 79350077779200.

The previous prime is 200212002021931. The next prime is 200212002022031. The reversal of 200212002022000 is 220200212002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458983840 + ... + 459419839.

It is an arithmetic number, because the mean of its divisors is an integer number (6106925270160).

Almost surely, 2200212002022000 is an apocalyptic number.

200212002022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212002022000 is an abundant number, since it is smaller than the sum of its proper divisors (288342019590800).

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

200212002022000 is a wasteful number, since it uses less digits than its factorization.

200212002022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918403811 (or 918403795 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 200212002022000 its reverse (220200212002), we get a palindrome (200432202234002).

The spelling of 200212002022000 in words is "two hundred trillion, two hundred twelve billion, two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 872 1000 1090 1744 2000 2180 2725 4360 5450 8720 10900 13625 21800 27250 43600 54500 109000 218000 918403679 1836807358 3673614716 4592018395 7347229432 9184036790 14694458864 18368073580 22960091975 36736147160 45920183950 73472294320 91840367900 100106001011 114800459875 183680735800 200212002022 229600919750 367361471600 400424004044 459201839500 500530005055 800848008088 918403679000 1001060010110 1601696016176 1836807358000 2002120020220 2502650025275 4004240040440 5005300050550 8008480080880 10010600101100 12513250126375 20021200202200 25026500252750 40042400404400 50053000505500 100106001011000 200212002022000