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12222315 = 3257223241
BaseRepresentation
bin101110100111…
…111101101011
3211222221212100
4232213331223
511112103230
61113544443
7205613400
oct56477553
924887770
1012222315
116998896
124115123
1326bc251
1418a22a7
151116660
hexba7f6b

12222315 has 72 divisors (see below), whose sum is σ = 25822368. Its totient is φ = 5322240.

The previous prime is 12222307. The next prime is 12222319. The reversal of 12222315 is 51322221.

It is not a de Polignac number, because 12222315 - 23 = 12222307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12222319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50595 + ... + 50835.

It is an arithmetic number, because the mean of its divisors is an integer number (358644).

Almost surely, 212222315 is an apocalyptic number.

12222315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12222315 is an abundant number, since it is smaller than the sum of its proper divisors (13600053).

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

12222315 is a wasteful number, since it uses less digits than its factorization.

12222315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12222315 is about 3496.0427628964. The cubic root of 12222315 is about 230.3480238477.

Adding to 12222315 its reverse (51322221), we get a palindrome (63544536).

The spelling of 12222315 in words is "twelve million, two hundred twenty-two thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 241 245 315 345 441 483 723 735 805 1035 1127 1205 1449 1687 2169 2205 2415 3381 3615 5061 5543 5635 7245 8435 10143 10845 11809 15183 16629 16905 25305 27715 35427 38801 49887 50715 59045 75915 83145 106281 116403 177135 194005 249435 271607 349209 531405 582015 814821 1358035 1746045 2444463 4074105 12222315