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220040442024216 = 23311915191081469
BaseRepresentation
bin110010000010000000101000…
…011000100001000100011000
31001212002122211201220020221220
4302002000220120201010120
5212320120311124233331
62055553103352332040
764230253165020522
oct6202005030410430
91055078751806856
10220040442024216
116412569a0977a0
122081938a9a4020
1395a195608b758
143c4a02b032a12
151a68b54622296
hexc82028621118

220040442024216 has 64 divisors (see below), whose sum is σ = 600175881676800. Its totient is φ = 66671634576000.

The previous prime is 220040442024187. The next prime is 220040442024283. The reversal of 220040442024216 is 612420244040022.

It is a super-2 number, since 2×2200404420242162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43124871 + ... + 47956598.

It is an arithmetic number, because the mean of its divisors is an integer number (9377748151200).

Almost surely, 2220040442024216 is an apocalyptic number.

It is an amenable number.

220040442024216 is an abundant number, since it is smaller than the sum of its proper divisors (380135439652584).

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

220040442024216 is a wasteful number, since it uses less digits than its factorization.

220040442024216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91090640 (or 91090636 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 220040442024216 its reverse (612420244040022), we get a palindrome (832460686064238).

The spelling of 220040442024216 in words is "two hundred twenty trillion, forty billion, four hundred forty-two million, twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 9151 18302 27453 36604 54906 73208 100661 109812 201322 219624 301983 402644 603966 805288 1207932 2415864 91081469 182162938 273244407 364325876 546488814 728651752 1001896159 1092977628 2003792318 2185955256 3005688477 4007584636 6011376954 8015169272 12022753908 24045507816 833486522819 1666973045638 2500459568457 3333946091276 5000919136914 6667892182552 9168351751009 10001838273828 18336703502018 20003676547656 27505055253027 36673407004036 55010110506054 73346814008072 110020221012108 220040442024216