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12320224 = 25755001
BaseRepresentation
bin101110111111…
…110111100000
3212011221011121
4232333313200
511123221344
61120022024
7206502010
oct56776740
925157147
1012320224
116a55404
124161914
132724997
1418c9c40
151135684
hexbbfde0

12320224 has 24 divisors (see below), whose sum is σ = 27721008. Its totient is φ = 5280000.

The previous prime is 12320219. The next prime is 12320239. The reversal of 12320224 is 42202321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12320198 and 12320207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27277 + ... + 27724.

It is an arithmetic number, because the mean of its divisors is an integer number (1155042).

Almost surely, 212320224 is an apocalyptic number.

12320224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12320224 is an abundant number, since it is smaller than the sum of its proper divisors (15400784).

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

12320224 is an equidigital number, since it uses as much as digits as its factorization.

12320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55018 (or 55010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12320224 is about 3510.0176637732. The cubic root of 12320224 is about 230.9614698078.

Adding to 12320224 its reverse (42202321), we get a palindrome (54522545).

It can be divided in two parts, 12320 and 224, that added together give a square (12544 = 1122).

The spelling of 12320224 in words is "twelve million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 55001 110002 220004 385007 440008 770014 880016 1540028 1760032 3080056 6160112 12320224