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12225416 = 237435077
BaseRepresentation
bin101110101000…
…101110001000
3212000010010012
4232220232020
511112203131
61114011052
7205625420
oct56505610
925003105
1012225416
1169a0155
124116a88
1326c0798
1418a3480
15111752b
hexba8b88

12225416 has 32 divisors (see below), whose sum is σ = 26811840. Its totient is φ = 5116608.

The previous prime is 12225407. The next prime is 12225427. The reversal of 12225416 is 61452221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12225391 and 12225400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 4946.

It is an arithmetic number, because the mean of its divisors is an integer number (837870).

Almost surely, 212225416 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 12225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405920).

12225416 is an abundant number, since it is smaller than the sum of its proper divisors (14586424).

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

12225416 is a wasteful number, since it uses less digits than its factorization.

12225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5129 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 12225416 is about 3496.4862362091. The cubic root of 12225416 is about 230.3675032131.

Adding to 12225416 its reverse (61452221), we get a palindrome (73677637).

The spelling of 12225416 in words is "twelve million, two hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 5077 10154 20308 35539 40616 71078 142156 218311 284312 436622 873244 1528177 1746488 3056354 6112708 12225416