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82219252214 = 21172716133187
BaseRepresentation
bin100110010010010100…
…1100011100111110110
321212020000000202201102
41030210221203213312
52321341112032324
6101434311530102
75640320053451
oct1144451434766
9255200022642
1082219252214
1131961696120
1213b27089932
1379a3b473c8
143d9d7c8498
15221323edae
hex1324a639f6

82219252214 has 32 divisors (see below), whose sum is σ = 134851481856. Its totient is φ = 37286140320.

The previous prime is 82219252211. The next prime is 82219252237. The reversal of 82219252214 is 41225291228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82219252211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25796729 + ... + 25799915.

It is an arithmetic number, because the mean of its divisors is an integer number (4214108808).

Almost surely, 282219252214 is an apocalyptic number.

82219252214 is a deficient number, since it is larger than the sum of its proper divisors (52632229642).

82219252214 is a wasteful number, since it uses less digits than its factorization.

82219252214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540.

The product of its digits is 46080, while the sum is 38.

It can be divided in two parts, 82219 and 252214, that added together give a palindrome (334433).

The spelling of 82219252214 in words is "eighty-two billion, two hundred nineteen million, two hundred fifty-two thousand, two hundred fourteen".

Divisors: 1 2 11 22 727 1454 1613 3187 3226 6374 7997 15994 17743 35057 35486 70114 1172651 2316949 2345302 4633898 5140631 10281262 12899161 25486439 25798322 50972878 56546941 113093882 3737238737 7474477474 41109626107 82219252214