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12221436 = 22317139431
BaseRepresentation
bin101110100111…
…101111111100
3211222220122210
4232213233330
511112041221
61113540420
7205611003
oct56475774
924886583
1012221436
116998167
124114710
1326bba26
1418a1c3a
151116276
hexba7bfc

12221436 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3797760.

The previous prime is 12221431. The next prime is 12221449. The reversal of 12221436 is 63412221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28141 + ... + 28571.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 212221436 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 12221436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12221436 is an abundant number, since it is smaller than the sum of its proper divisors (18260484).

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

12221436 is a wasteful number, since it uses less digits than its factorization.

12221436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 12221436 is about 3495.9170470708. The cubic root of 12221436 is about 230.3425016869.

Adding to 12221436 its reverse (63412221), we get a palindrome (75633657).

The spelling of 12221436 in words is "twelve million, two hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 417 431 556 834 862 1293 1668 1724 2363 2586 4726 5172 7089 7327 9452 14178 14654 21981 28356 29308 43962 59909 87924 119818 179727 239636 359454 718908 1018453 2036906 3055359 4073812 6110718 12221436