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12264224 = 25754751
BaseRepresentation
bin101110110010…
…001100100000
3212002002100112
4232302030200
511114423344
61114510452
7206146520
oct56621440
925062315
1012264224
116a17325
124135428
13270534b
1418b3680
151123c9e
hexbb2320

12264224 has 24 divisors (see below), whose sum is σ = 27595008. Its totient is φ = 5256000.

The previous prime is 12264223. The next prime is 12264269. The reversal of 12264224 is 42246221.

It is a super-2 number, since 2×122642242 = 300822380644352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12264224.

It is not an unprimeable number, because it can be changed into a prime (12264223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27152 + ... + 27599.

It is an arithmetic number, because the mean of its divisors is an integer number (1149792).

Almost surely, 212264224 is an apocalyptic number.

12264224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12264224 is an abundant number, since it is smaller than the sum of its proper divisors (15330784).

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

12264224 is an equidigital number, since it uses as much as digits as its factorization.

12264224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54768 (or 54760 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 12264224 is about 3502.0314104816. The cubic root of 12264224 is about 230.6110030111.

It can be divided in two parts, 122 and 64224, that added together give a palindrome (64346).

The spelling of 12264224 in words is "twelve million, two hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 54751 109502 219004 383257 438008 766514 876016 1533028 1752032 3066056 6132112 12264224