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224210112 = 2637166823
BaseRepresentation
bin11010101110100…
…10110011000000
3120121220001110020
431113102303000
5424344210422
634125333440
75361516540
oct1527226300
9517801406
10224210112
11105619415
1263107280
13375b2b09
1421ac5320
1514a3c95c
hexd5d2cc0

224210112 has 56 divisors (see below), whose sum is σ = 677972736. Its totient is φ = 64059648.

The previous prime is 224210111. The next prime is 224210131. The reversal of 224210112 is 211012422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 224210091 and 224210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82068 + ... + 84755.

It is an arithmetic number, because the mean of its divisors is an integer number (12106656).

Almost surely, 2224210112 is an apocalyptic number.

It is an amenable number.

224210112 is an abundant number, since it is smaller than the sum of its proper divisors (453762624).

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

224210112 is a wasteful number, since it uses less digits than its factorization.

224210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166845 (or 166835 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 224210112 is about 14973.6472510875. The cubic root of 224210112 is about 607.5076230648.

Adding to 224210112 its reverse (211012422), we get a palindrome (435222534).

The spelling of 224210112 in words is "two hundred twenty-four million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 166823 333646 500469 667292 1000938 1167761 1334584 2001876 2335522 2669168 3503283 4003752 4671044 5338336 7006566 8007504 9342088 10676672 14013132 16015008 18684176 28026264 32030016 37368352 56052528 74736704 112105056 224210112