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2286996822 = 233115965257
BaseRepresentation
bin1000100001010000…
…1100110101010110
312220101101110212000
42020110030311112
514140432344242
61014534140130
7110450103135
oct21024146526
95811343760
102286996822
11a73a4a620
12539ab1646
132a5a71676
14179a4591c
15d5ba3a4c
hex8850cd56

2286996822 has 64 divisors (see below), whose sum is σ = 5638291200. Its totient is φ = 681272640.

The previous prime is 2286996797. The next prime is 2286996841.

2286996822 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2418 + ... + 67674.

It is an arithmetic number, because the mean of its divisors is an integer number (88098300).

Almost surely, 22286996822 is an apocalyptic number.

2286996822 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 2286996822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819145600).

2286996822 is an abundant number, since it is smaller than the sum of its proper divisors (3351294378).

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

2286996822 is a wasteful number, since it uses less digits than its factorization.

2286996822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65338 (or 65332 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2286996822 is about 47822.5555778860. Note that the first 4 decimals coincide. The cubic root of 2286996822 is about 1317.5138431094.

The spelling of 2286996822 in words is "two billion, two hundred eighty-six million, nine hundred ninety-six thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1947 3186 3894 5841 11682 17523 35046 65257 130514 195771 391542 587313 717827 1174626 1435654 1761939 2153481 3523878 3850163 4306962 6460443 7700326 11550489 12920886 19381329 23100978 34651467 38762658 42351793 69302934 84703586 103954401 127055379 207908802 254110758 381166137 762332274 1143498411 2286996822