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12221232 = 243172881
BaseRepresentation
bin101110100111…
…101100110000
3211222220101020
4232213230300
511112034412
61113535440
7205610262
oct56475460
924886336
1012221232
116997aa1
124114580
1326bb8ca
1418a1b32
15111618c
hexba7b30

12221232 has 60 divisors (see below), whose sum is σ = 33575976. Its totient is φ = 3829760.

The previous prime is 12221207. The next prime is 12221233. The reversal of 12221232 is 23212221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12221233) 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, 13432 + ... + 14312.

Almost surely, 212221232 is an apocalyptic number.

12221232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787988).

12221232 is an abundant number, since it is smaller than the sum of its proper divisors (21354744).

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

12221232 is a wasteful number, since it uses less digits than its factorization.

12221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 903 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 12221232 is about 3495.8878700553. The cubic root of 12221232 is about 230.3412200554.

Adding to 12221232 its reverse (23212221), we get a palindrome (35433453).

The spelling of 12221232 in words is "twelve million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 881 1156 1734 1762 2312 2643 3468 3524 4624 5286 6936 7048 10572 13872 14096 14977 21144 29954 42288 44931 59908 89862 119816 179724 239632 254609 359448 509218 718896 763827 1018436 1527654 2036872 3055308 4073744 6110616 12221232