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2216017008 = 243322323003
BaseRepresentation
bin1000010000010101…
…1011110001110000
312201102211022212000
42010011123301300
514014300021013
61003520534000
7105625555662
oct20405336160
95642738760
102216017008
11a3797a417
1251a181300
1329414bb8a
1417044a532
15ce832973
hex8415bc70

2216017008 has 80 divisors (see below), whose sum is σ = 6389591040. Its totient is φ = 735327936.

The previous prime is 2216017007. The next prime is 2216017009. The reversal of 2216017008 is 8007106122.

It is an interprime number because it is at equal distance from previous prime (2216017007) and next prime (2216017009).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216017007) by changing a digit.

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, 84835 + ... + 107837.

It is an arithmetic number, because the mean of its divisors is an integer number (79869888).

Almost surely, 22216017008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216017008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194795520).

2216017008 is an abundant number, since it is smaller than the sum of its proper divisors (4173574032).

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

2216017008 is a wasteful number, since it uses less digits than its factorization.

2216017008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23243 (or 23231 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2216017008 is about 47074.5898335822. The cubic root of 2216017008 is about 1303.7401184587.

The spelling of 2216017008 in words is "two billion, two hundred sixteen million, seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 892 1338 1784 2007 2676 3568 4014 5352 6021 8028 10704 12042 16056 23003 24084 32112 46006 48168 69009 92012 96336 138018 184024 207027 276036 368048 414054 552072 621081 828108 1104144 1242162 1656216 2484324 3312432 4968648 5129669 9937296 10259338 15389007 20518676 30778014 41037352 46167021 61556028 82074704 92334042 123112056 138501063 184668084 246224112 277002126 369336168 554004252 738672336 1108008504 2216017008