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12240228 = 223711131019
BaseRepresentation
bin101110101100…
…010101100100
3212000212102210
4232230111210
511113141403
61114203420
7206016540
oct56542544
925025383
1012240228
116a002a0
124123570
1326c7450
1418a8a20
15111bb03
hexbac564

12240228 has 96 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 2931840.

The previous prime is 12240227. The next prime is 12240271. The reversal of 12240228 is 82204221.

It is a happy number.

12240228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12240223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11503 + ... + 12521.

It is an arithmetic number, because the mean of its divisors is an integer number (399840).

Almost surely, 212240228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

12240228 is an abundant number, since it is smaller than the sum of its proper divisors (26144412).

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

12240228 is a wasteful number, since it uses less digits than its factorization.

12240228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12240228 is about 3498.6037214866. The cubic root of 12240228 is about 230.4605014483.

Adding to 12240228 its reverse (82204221), we get a palindrome (94444449).

The spelling of 12240228 in words is "twelve million, two hundred forty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1019 1092 1716 2002 2038 3003 3057 4004 4076 6006 6114 7133 11209 12012 12228 13247 14266 21399 22418 26494 28532 33627 39741 42798 44836 52988 67254 78463 79482 85596 92729 134508 145717 156926 158964 185458 235389 278187 291434 313852 370916 437151 470778 556374 582868 874302 941556 1020019 1112748 1748604 2040038 3060057 4080076 6120114 12240228