Search a number
-
+
12225504 = 253347367
BaseRepresentation
bin101110101000…
…101111100000
3212000010020110
4232220233200
511112204004
61114011320
7205625604
oct56505740
925003213
1012225504
1169a0225
124116b40
1326c0835
1418a3504
151117589
hexba8be0

12225504 has 48 divisors (see below), whose sum is σ = 32272128. Its totient is φ = 4052352.

The previous prime is 12225491. The next prime is 12225527. The reversal of 12225504 is 40552221.

It is a happy number.

12225504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33129 + ... + 33495.

It is an arithmetic number, because the mean of its divisors is an integer number (672336).

Almost surely, 212225504 is an apocalyptic number.

It is an amenable number.

12225504 is an abundant number, since it is smaller than the sum of its proper divisors (20046624).

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

12225504 is a wasteful number, since it uses less digits than its factorization.

12225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 12225504 is about 3496.4988202486. The cubic root of 12225504 is about 230.3680559494.

Adding to 12225504 its reverse (40552221), we get a palindrome (52777725).

The spelling of 12225504 in words is "twelve million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 347 367 694 734 1041 1101 1388 1468 2082 2202 2776 2936 4164 4404 5552 5872 8328 8808 11104 11744 16656 17616 33312 35232 127349 254698 382047 509396 764094 1018792 1528188 2037584 3056376 4075168 6112752 12225504