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12215148 = 22311293191
BaseRepresentation
bin101110100110…
…001101101100
3211222121000220
4232212031230
511111341043
61113451340
7205553451
oct56461554
924877026
1012215148
116993470
124110b50
1326b8bca
14189d828
151114483
hexba636c

12215148 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3572800.

The previous prime is 12215141. The next prime is 12215149. The reversal of 12215148 is 84151221.

It is not an unprimeable number, because it can be changed into a prime (12215141) 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 15 ways as a sum of consecutive naturals, for example, 2233 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 212215148 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 12215148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12215148 is an abundant number, since it is smaller than the sum of its proper divisors (19960212).

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

12215148 is a wasteful number, since it uses less digits than its factorization.

12215148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3236 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 12215148 is about 3495.0175965222. The cubic root of 12215148 is about 230.3029907237.

Adding to 12215148 its reverse (84151221), we get a palindrome (96366369).

The spelling of 12215148 in words is "twelve million, two hundred fifteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3191 3828 6382 9573 12764 19146 35101 38292 70202 92539 105303 140404 185078 210606 277617 370156 421212 555234 1017929 1110468 2035858 3053787 4071716 6107574 12215148