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12114228 = 2237294973
BaseRepresentation
bin101110001101…
…100100110100
3211210110121010
4232031210310
511100123403
61111352220
7204653310
oct56154464
924713533
1012114228
116924665
124082670
132681ca9
141874b40
1510e4603
hexb8d934

12114228 has 48 divisors (see below), whose sum is σ = 33425280. Its totient is φ = 3341184.

The previous prime is 12114227. The next prime is 12114241. The reversal of 12114228 is 82241121.

12114228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121142283 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51 + ... + 4922.

It is an arithmetic number, because the mean of its divisors is an integer number (696360).

Almost surely, 212114228 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 12114228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712640).

12114228 is an abundant number, since it is smaller than the sum of its proper divisors (21311052).

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

12114228 is a wasteful number, since it uses less digits than its factorization.

12114228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5014 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 12114228 is about 3480.5499565442. The cubic root of 12114228 is about 229.6669913013. Note that the first 3 decimals are identical.

Adding to 12114228 its reverse (82241121), we get a palindrome (94355349).

The spelling of 12114228 in words is "twelve million, one hundred fourteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 4973 9946 14919 19892 29838 34811 59676 69622 104433 139244 144217 208866 288434 417732 432651 576868 865302 1009519 1730604 2019038 3028557 4038076 6057114 12114228