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2282223114 = 234193172339
BaseRepresentation
bin1000100000000111…
…1111011000001010
312220001101221120000
42020001333120022
514133222114424
61014243543430
7110361401463
oct21001773012
95801357500
102282223114
11a7128a006
1253838ab76
132a4a8c8a2
14179161d6a
15d555e3c9
hex8807f60a

2282223114 has 80 divisors (see below), whose sum is σ = 5402311200. Its totient is φ = 718121376.

The previous prime is 2282223113. The next prime is 2282223137. The reversal of 2282223114 is 4113222822.

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

It is not an unprimeable number, because it can be changed into a prime (2282223113) 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 39 ways as a sum of consecutive naturals, for example, 974557 + ... + 976895.

It is an arithmetic number, because the mean of its divisors is an integer number (67528890).

Almost surely, 22282223114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282223114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701155600).

2282223114 is an abundant number, since it is smaller than the sum of its proper divisors (3120088086).

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

2282223114 is a wasteful number, since it uses less digits than its factorization.

2282223114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2680 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2282223114 is about 47772.6188731579. The cubic root of 2282223114 is about 1316.5965109088.

Adding to 2282223114 its reverse (4113222822), we get a palindrome (6395445936).

The spelling of 2282223114 in words is "two billion, two hundred eighty-two million, two hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 317 342 513 634 951 1026 1539 1902 2339 2853 3078 4678 5706 6023 7017 8559 12046 14034 17118 18069 21051 25677 36138 42102 44441 51354 54207 63153 88882 108414 126306 133323 162621 189459 266646 325242 378918 399969 487863 741463 799938 975726 1199907 1482926 2224389 2399814 3599721 4448778 6673167 7199442 13346334 14087797 20019501 28175594 40039002 42263391 60058503 84526782 120117006 126790173 253580346 380370519 760741038 1141111557 2282223114