Search a number
-
+
12022224 = 24347732
BaseRepresentation
bin101101110111…
…000111010000
3211121210101120
4231313013100
511034202344
61105402240
7204121134
oct55670720
924553346
1012022224
116871525
124039380
13264c156
14184d3c4
1510c7219
hexb771d0

12022224 has 60 divisors (see below), whose sum is σ = 32158656. Its totient is φ = 3868416.

The previous prime is 12022223. The next prime is 12022229. The reversal of 12022224 is 42222021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164652 + ... + 164724.

Almost surely, 212022224 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 12022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079328).

12022224 is an abundant number, since it is smaller than the sum of its proper divisors (20136432).

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

12022224 is an equidigital number, since it uses as much as digits as its factorization.

12022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 12022224 is about 3467.3078894151. The cubic root of 12022224 is about 229.0840954019.

Adding to 12022224 its reverse (42222021), we get a palindrome (54244245).

It can be divided in two parts, 12022 and 224, that added together give a triangular number (12246 = T156).

The spelling of 12022224 in words is "twelve million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 188 219 282 292 376 438 564 584 752 876 1128 1168 1752 2256 3431 3504 5329 6862 10293 10658 13724 15987 20586 21316 27448 31974 41172 42632 54896 63948 82344 85264 127896 164688 250463 255792 500926 751389 1001852 1502778 2003704 3005556 4007408 6011112 12022224