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2836226382 = 23111711292239
BaseRepresentation
bin1010100100001101…
…0110000101001110
321022122212020011120
42221003112011032
521302033221012
61145234101410
7130166345403
oct25103260516
97278766146
102836226382
111225a80950
12671a1a866
133627a2282
141cc9742aa
15118ee358c
hexa90d614e

2836226382 has 64 divisors (see below), whose sum is σ = 6560870400. Its totient is φ = 807828480.

The previous prime is 2836226381. The next prime is 2836226383.

2836226382 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2836226381) and next prime (2836226383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2836226381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265619 + ... + 1267857.

It is an arithmetic number, because the mean of its divisors is an integer number (102513600).

Almost surely, 22836226382 is an apocalyptic number.

2836226382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2836226382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280435200).

2836226382 is an abundant number, since it is smaller than the sum of its proper divisors (3724644018).

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

2836226382 is a wasteful number, since it uses less digits than its factorization.

2836226382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401.

The product of its digits is 331776, while the sum is 42.

The square root of 2836226382 is about 53256.2332689799. The cubic root of 2836226382 is about 1415.5122456261.

The spelling of 2836226382 in words is "two billion, eight hundred thirty-six million, two hundred twenty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1129 2239 2258 3387 4478 6717 6774 12419 13434 19193 24629 24838 37257 38063 38386 49258 57579 73887 74514 76126 114189 115158 147774 211123 228378 418693 422246 633369 837386 1256079 1266738 2512158 2527831 5055662 7583493 15166986 27806141 42973127 55612282 83418423 85946254 128919381 166836846 257838762 472704397 945408794 1418113191 2836226382