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2200212100220 = 225712101216071
BaseRepresentation
bin100000000001000110110…
…111000101010001111100
321210100010120020100021012
4200001012313011101330
5242022013244201340
64402432525054352
7314650210164041
oct40010667052174
97710116210235
102200212100220
1177911740a022
122b64ba6b73b8
1312c62c7b6324
14786c2bc31c8
153c374d9b565
hex20046dc547c

2200212100220 has 72 divisors (see below), whose sum is σ = 4732860966624. Its totient is φ = 859094320000.

The previous prime is 2200212100181. The next prime is 2200212100231. The reversal of 2200212100220 is 220012120022.

It is a junction number, because it is equal to n+sod(n) for n = 2200212100195 and 2200212100204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10074785 + ... + 10290855.

It is an arithmetic number, because the mean of its divisors is an integer number (65734180092).

Almost surely, 22200212100220 is an apocalyptic number.

2200212100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200212100220 is an abundant number, since it is smaller than the sum of its proper divisors (2532648866404).

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

2200212100220 is a wasteful number, since it uses less digits than its factorization.

2200212100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216323 (or 216250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2200212100220 its reverse (220012120022), we get a palindrome (2420224220242).

The spelling of 2200212100220 in words is "two trillion, two hundred billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 101 142 202 284 355 404 505 710 1010 1420 2020 5041 7171 10082 14342 20164 25205 28684 35855 50410 71710 100820 143420 216071 432142 509141 864284 1018282 1080355 2036564 2160710 2545705 4321420 5091410 10182820 15341041 21823171 30682082 43646342 61364164 76705205 87292684 109115855 153410410 218231710 306820820 436463420 1089213911 1549445141 2178427822 3098890282 4356855644 5446069555 6197780564 7747225705 10892139110 15494451410 21784278220 30988902820 110010605011 220021210022 440042420044 550053025055 1100106050110 2200212100220