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220212000102222 = 23319911235599977
BaseRepresentation
bin110010000100100000011010…
…000010101001011101001110
31001212201001122220200121022000
4302010200122002221131032
5212330423134011232342
62100203555105333130
764245535435434252
oct6204403202513516
91055631586617260
10220212000102222
1164191426162a37
12208466893371a6
1395b4b96a60c8b
143c544639aa262
151a6d345b3a44c
hexc8481a0a974e

220212000102222 has 64 divisors (see below), whose sum is σ = 515681231846400. Its totient is φ = 69464296923840.

The previous prime is 220212000102137. The next prime is 220212000102223. The reversal of 220212000102222 is 222201000212022.

220212000102222 is a `hidden beast` number, since 220 + 2 + 120 + 0 + 0 + 102 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220212000102195 and 220212000102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212000102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116865303 + ... + 118734674.

It is an arithmetic number, because the mean of its divisors is an integer number (8057519247600).

Almost surely, 2220212000102222 is an apocalyptic number.

220212000102222 is an abundant number, since it is smaller than the sum of its proper divisors (295469231744178).

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

220212000102222 is a wasteful number, since it uses less digits than its factorization.

220212000102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235600918 (or 235600912 counting only the distinct ones).

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

Adding to 220212000102222 its reverse (222201000212022), we get a palindrome (442413000314244).

The spelling of 220212000102222 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 911 1026 1822 2733 5466 8199 16398 17309 24597 34618 49194 51927 103854 155781 311562 467343 934686 235599977 471199954 706799931 1413599862 2120399793 4240799586 4476399563 6361199379 8952799126 12722398758 13429198689 26858397378 40287596067 80575192134 120862788201 214631579047 241725576402 429263158094 643894737141 1287789474282 1931684211423 3863368422846 4078000001893 5795052634269 8156000003786 11590105268538 12234000005679 24468000011358 36702000017037 73404000034074 110106000051111 220212000102222