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12230424 = 2332374591
BaseRepresentation
bin101110101001…
…111100011000
3212000100222200
4232221330120
511112333144
61114050200
7205646133
oct56517430
925010880
1012230424
1169a3998
124119960
1326c2b4b
1418a521a
151118c69
hexba9f18

12230424 has 48 divisors (see below), whose sum is σ = 34026720. Its totient is φ = 3965760.

The previous prime is 12230419. The next prime is 12230441. The reversal of 12230424 is 42403221.

12230424 is a `hidden beast` number, since 12 + 230 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12230397 and 12230406.

It is a congruent number.

It is an unprimeable number.

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, 369 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (708890).

Almost surely, 212230424 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 12230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013360).

12230424 is an abundant number, since it is smaller than the sum of its proper divisors (21796296).

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

12230424 is a wasteful number, since it uses less digits than its factorization.

12230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12230424 is about 3497.2023104190. The cubic root of 12230424 is about 230.3989547117.

Adding to 12230424 its reverse (42403221), we get a palindrome (54633645).

The spelling of 12230424 in words is "twelve million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4591 9182 13773 18364 27546 36728 41319 55092 82638 110184 165276 169867 330552 339734 509601 679468 1019202 1358936 1528803 2038404 3057606 4076808 6115212 12230424