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82234344343228 = 22721138142089213
BaseRepresentation
bin10010101100101010101100…
…111000100000011010111100
3101210011112012211220222000121
4102230222230320200122330
541234311414122440403
6450521534122104324
723215143466512100
oct2254525470403274
9353145184828017
1082234344343228
112422543159a560
12928169764b0a4
1336b6885b5472c
14164424091b900
159791860a73bd
hex4acaace206bc

82234344343228 has 36 divisors (see below), whose sum is σ = 182624323156632. Its totient is φ = 32039354938080.

The previous prime is 82234344343223. The next prime is 82234344343271.

82234344343228 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82234344343223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19071042451 + ... + 19071046762.

It is an arithmetic number, because the mean of its divisors is an integer number (5072897865462).

Almost surely, 282234344343228 is an apocalyptic number.

It is an amenable number.

82234344343228 is an abundant number, since it is smaller than the sum of its proper divisors (100389978813404).

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

82234344343228 is a wasteful number, since it uses less digits than its factorization.

82234344343228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38142089242 (or 38142089233 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 52.

The spelling of 82234344343228 in words is "eighty-two trillion, two hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 38142089213 76284178426 152568356852 266994624491 419562981343 533989248982 839125962686 1067978497964 1678251925372 1868962371437 2936940869401 3737924742874 5873881738802 7475849485748 11747763477604 20558586085807 41117172171614 82234344343228