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224230212 = 223237712371
BaseRepresentation
bin11010101110101…
…11101101000100
3120121221002000200
431113113231010
5424400331322
634130010500
75361632253
oct1527275504
9517832020
10224230212
11105632528
1263116a30
13375bbccb
1421acc79a
1514a438ac
hexd5d7b44

224230212 has 72 divisors (see below), whose sum is σ = 590571072. Its totient is φ = 71668800.

The previous prime is 224230207. The next prime is 224230217. The reversal of 224230212 is 212032422.

224230212 is a `hidden beast` number, since 224 + 230 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (224230207) and next prime (224230217).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224230217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93387 + ... + 95757.

It is an arithmetic number, because the mean of its divisors is an integer number (8202376).

Almost surely, 2224230212 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 224230212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295285536).

224230212 is an abundant number, since it is smaller than the sum of its proper divisors (366340860).

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

224230212 is a wasteful number, since it uses less digits than its factorization.

224230212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224230212 is about 14974.3184152068. The cubic root of 224230212 is about 607.5257764808.

Adding to 224230212 its reverse (212032422), we get a palindrome (436262634).

The spelling of 224230212 in words is "two hundred twenty-four million, two hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 852 1278 1332 2371 2556 2627 4742 5254 7113 7881 9484 10508 14226 15762 21339 23643 28452 31524 42678 47286 85356 87727 94572 168341 175454 263181 336682 350908 505023 526362 673364 789543 1010046 1052724 1515069 1579086 2020092 3030138 3158172 6060276 6228617 12457234 18685851 24914468 37371702 56057553 74743404 112115106 224230212