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12084228 = 22341319151
BaseRepresentation
bin101110000110…
…010000000100
3211201221110000
4232012100010
511043143403
61111001300
7204466662
oct56062004
924657400
1012084228
116904072
124069230
132671440
141867c32
1510da7a3
hexb86404

12084228 has 120 divisors (see below), whose sum is σ = 36048320. Its totient is φ = 3499200.

The previous prime is 12084227. The next prime is 12084239. The reversal of 12084228 is 82248021.

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 (12084221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79953 + ... + 80103.

Almost surely, 212084228 is an apocalyptic number.

12084228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024160).

12084228 is an abundant number, since it is smaller than the sum of its proper divisors (23964092).

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

12084228 is a wasteful number, since it uses less digits than its factorization.

12084228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12084228 is about 3476.2376213372. The cubic root of 12084228 is about 229.4772500838.

It can be divided in two parts, 120 and 84228, that added together give a palindrome (84348).

The spelling of 12084228 in words is "twelve million, eighty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 151 156 162 171 228 234 247 302 324 342 351 453 468 494 513 604 684 702 741 906 988 1026 1053 1359 1404 1482 1539 1812 1963 2052 2106 2223 2718 2869 2964 3078 3926 4077 4212 4446 5436 5738 5889 6156 6669 7852 8154 8607 8892 11476 11778 12231 13338 16308 17214 17667 20007 23556 24462 25821 26676 34428 35334 37297 40014 48924 51642 53001 70668 74594 77463 80028 103284 106002 111891 149188 154926 159003 212004 223782 232389 309852 318006 335673 447564 464778 636012 671346 929556 1007019 1342692 2014038 3021057 4028076 6042114 12084228