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220212200212002 = 232103911774794151
BaseRepresentation
bin110010000100100000100101…
…111110000000011000100010
31001212201002011212020020022100
4302010200211332000120202
5212330424041223241002
62100204031014351230
764245543415356555
oct6204404576003042
91055632155206270
10220212200212002
1164191519110419
122084672435b516
1395b4bc935622b
143c544823ba69c
151a6d3584b711c
hexc84825f80622

220212200212002 has 24 divisors (see below), whose sum is σ = 477585650805120. Its totient is φ = 73333417966200.

The previous prime is 220212200211961. The next prime is 220212200212019. The reversal of 220212200212002 is 200212002212022.

220212200212002 is a `hidden beast` number, since 220 + 2 + 1 + 220 + 0 + 21 + 200 + 2 = 666.

It is a super-4 number, since 4×2202122002120024 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 5887378374 + ... + 5887415777.

It is an arithmetic number, because the mean of its divisors is an integer number (19899402116880).

Almost surely, 2220212200212002 is an apocalyptic number.

220212200212002 is an abundant number, since it is smaller than the sum of its proper divisors (257373450593118).

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

220212200212002 is a wasteful number, since it uses less digits than its factorization.

220212200212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774795198 (or 11774795195 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212200212002 its reverse (200212002212022), we get a palindrome (420424202424024).

The spelling of 220212200212002 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 1039 2078 3117 6234 9351 18702 11774794151 23549588302 35324382453 70648764906 105973147359 211946294718 12234011122889 24468022245778 36702033368667 73404066737334 110106100106001 220212200212002