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2216153331 = 337219131673
BaseRepresentation
bin1000010000010111…
…1101000011110011
312201110002020212000
42010011331003303
514014313401311
61003523505043
7105626664300
oct20405750363
95643066760
102216153331
11a37a62887
1251a228183
13294198c42
141704840a7
15ce85d056
hex8417d0f3

2216153331 has 96 divisors (see below), whose sum is σ = 4056940800. Its totient is φ = 1188794880.

The previous prime is 2216153299. The next prime is 2216153333. The reversal of 2216153331 is 1333516122.

2216153331 is a `hidden beast` number, since 221 + 61 + 53 + 331 = 666.

It is not a de Polignac number, because 2216153331 - 25 = 2216153299 is a prime.

It is a super-2 number, since 2×22161533312 = 9822671173004791122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2216153295 and 2216153304.

It is not an unprimeable number, because it can be changed into a prime (2216153333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3292611 + ... + 3293283.

It is an arithmetic number, because the mean of its divisors is an integer number (42259800).

It is a self-describing number.

Almost surely, 22216153331 is an apocalyptic number.

2216153331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2216153331 is a deficient number, since it is larger than the sum of its proper divisors (1840787469).

2216153331 is a wasteful number, since it uses less digits than its factorization.

2216153331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2216153331 is about 47076.0377580782. The cubic root of 2216153331 is about 1303.7668520261.

Adding to 2216153331 its reverse (1333516122), we get a palindrome (3549669453).

The spelling of 2216153331 in words is "two billion, two hundred sixteen million, one hundred fifty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 131 133 147 171 189 393 399 441 513 673 917 931 1179 1197 1323 2019 2489 2751 2793 3537 3591 4711 6057 6419 7467 8253 8379 12787 14133 17423 18171 19257 22401 24759 25137 32977 38361 42399 52269 57771 67203 88163 89509 98931 115083 121961 127197 156807 173313 264489 268527 296793 345249 365883 470421 617141 626563 793467 805581 890379 1097649 1675097 1851423 1879689 2380401 2416743 3292947 4319987 5025291 5554269 5639067 11725679 12959961 15075873 16662807 16917201 35177037 38879883 45227619 82079753 105531111 116639649 246239259 316593333 738717777 2216153331