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12221504 = 261747239
BaseRepresentation
bin101110100111…
…110001000000
3211222220202022
4232213301000
511112042004
61113541012
7205611131
oct56476100
924886668
1012221504
116998219
124114768
1326bba79
1418a1c88
1511162be
hexba7c40

12221504 has 56 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 5605376.

The previous prime is 12221497. The next prime is 12221519. The reversal of 12221504 is 40512221.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 51017 + ... + 51255.

Almost surely, 212221504 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 12221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

12221504 is an abundant number, since it is smaller than the sum of its proper divisors (14113216).

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

12221504 is a wasteful number, since it uses less digits than its factorization.

12221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 12221504 is about 3495.9267726885. The cubic root of 12221504 is about 230.3429288942.

Adding to 12221504 its reverse (40512221), we get a palindrome (52733725).

The spelling of 12221504 in words is "twelve million, two hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 136 188 239 272 376 478 544 752 799 956 1088 1504 1598 1912 3008 3196 3824 4063 6392 7648 8126 11233 12784 15296 16252 22466 25568 32504 44932 51136 65008 89864 130016 179728 190961 260032 359456 381922 718912 763844 1527688 3055376 6110752 12221504