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2200212221020 = 2251141572405813
BaseRepresentation
bin100000000001000110110…
…111100010110001011100
321210100010120110110222021
4200001012313202301130
5242022013312033040
64402432531425524
7314650211206162
oct40010667426134
97710116413867
102200212221020
11779117491860
122b64ba7552a4
1312c62c8292c8
14786c2c15232
153c374dc224a
hex20046de2c5c

2200212221020 has 48 divisors (see below), whose sum is σ = 5041700804448. Its totient is φ = 799884373760.

The previous prime is 2200212220949. The next prime is 2200212221021. The reversal of 2200212221020 is 201222120022.

It is a super-2 number, since 2×22002122210202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2200212220985 and 2200212221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200212221021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 288367 + ... + 2117446.

It is an arithmetic number, because the mean of its divisors is an integer number (105035433426).

Almost surely, 22200212221020 is an apocalyptic number.

2200212221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200212221020 is an abundant number, since it is smaller than the sum of its proper divisors (2841488583428).

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

2200212221020 is a wasteful number, since it uses less digits than its factorization.

2200212221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409990 (or 2409988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2200212221020 its reverse (201222120022), we get a palindrome (2401434341042).

The spelling of 2200212221020 in words is "two trillion, two hundred billion, two hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4157 8314 16628 20785 41570 45727 83140 91454 182908 228635 457270 914540 2405813 4811626 9623252 12029065 24058130 26463943 48116260 52927886 105855772 132319715 264639430 529278860 10000964641 20001929282 40003858564 50004823205 100009646410 110010611051 200019292820 220021222102 440042444204 550053055255 1100106110510 2200212221020