Search a number
-
+
12225888 = 253242451
BaseRepresentation
bin101110101000…
…110101100000
3212000010202200
4232220311200
511112212023
61114013200
7205626663
oct56506540
925003680
1012225888
1169a0544
124117200
1326c0a6c
1418a36da
151117743
hexba8d60

12225888 has 36 divisors (see below), whose sum is σ = 34768188. Its totient is φ = 4075200.

The previous prime is 12225887. The next prime is 12225901. The reversal of 12225888 is 88852221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225887) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 20938 + ... + 21513.

It is an arithmetic number, because the mean of its divisors is an integer number (965783).

Almost surely, 212225888 is an apocalyptic number.

12225888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12225888 is an abundant number, since it is smaller than the sum of its proper divisors (22542300).

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

12225888 is a wasteful number, since it uses less digits than its factorization.

12225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42467 (or 42456 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 12225888 is about 3496.5537318909. The cubic root of 12225888 is about 230.3704678583.

The spelling of 12225888 in words is "twelve million, two hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42451 84902 127353 169804 254706 339608 382059 509412 679216 764118 1018824 1358432 1528236 2037648 3056472 4075296 6112944 12225888