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228219912822 = 23112476688351
BaseRepresentation
bin1101010010001011110…
…1111000001001110110
3210211002001000210022210
43110202331320021312
512214343244202242
6252502012434250
722326334152216
oct3244275701166
9724061023283
10228219912822
1188873211400
1238292478986
13186a0976a45
14b08dd58246
155e0ab79d9c
hex3522f78276

228219912822 has 48 divisors (see below), whose sum is σ = 512381270016. Its totient is φ = 67686102000.

The previous prime is 228219912793. The next prime is 228219912829.

228219912822 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228219912829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3310054 + ... + 3378297.

It is an arithmetic number, because the mean of its divisors is an integer number (10674609792).

Almost surely, 2228219912822 is an apocalyptic number.

228219912822 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

228219912822 is an abundant number, since it is smaller than the sum of its proper divisors (284161357194).

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

228219912822 is a wasteful number, since it uses less digits than its factorization.

228219912822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688425 (or 6688414 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 228219912822 in words is "two hundred twenty-eight billion, two hundred nineteen million, nine hundred twelve thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 1034 1551 3102 5687 11374 17061 34122 6688351 13376702 20065053 40130106 73571861 147143722 220715583 314352497 441431166 628704994 809290471 943057491 1618580942 1886114982 2427871413 3457877467 4855742826 6915754934 10373632401 20747264802 38036652137 76073304274 114109956411 228219912822