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224323112 = 231319710949
BaseRepresentation
bin11010101111011…
…10011000101000
3120122002210110102
431113232120220
5424411314422
634132004532
75362500146
oct1527563050
9518083412
10224323112
11105696302
1263160748
1337622390
1421b14596
1514a61192
hexd5ee628

224323112 has 32 divisors (see below), whose sum is σ = 455301000. Its totient is φ = 102998784.

The previous prime is 224323111. The next prime is 224323153. The reversal of 224323112 is 211323422.

224323112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 164198596 + 60124516 = 12814^2 + 7754^2 .

It is not an unprimeable number, because it can be changed into a prime (224323111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15014 + ... + 25962.

Almost surely, 2224323112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227650500).

224323112 is an abundant number, since it is smaller than the sum of its proper divisors (230977888).

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

224323112 is a wasteful number, since it uses less digits than its factorization.

224323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11165 (or 11161 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 224323112 is about 14977.4200715611. The cubic root of 224323112 is about 607.6096654917.

Adding to 224323112 its reverse (211323422), we get a palindrome (435646534).

The spelling of 224323112 in words is "two hundred twenty-four million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 197 394 788 1576 2561 5122 10244 10949 20488 21898 43796 87592 142337 284674 569348 1138696 2156953 4313906 8627812 17255624 28040389 56080778 112161556 224323112