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224030232 = 2333412617
BaseRepresentation
bin11010101101001…
…10111000011000
3120121112220201000
431112212320120
5424322431412
634121425000
75360140236
oct1526467030
9517486630
10224030232
11105506258
126303b160
133754bc8a
1421a79956
1514a044dc
hexd5a6e18

224030232 has 96 divisors (see below), whose sum is σ = 638888400. Its totient is φ = 72737280.

The previous prime is 224030231. The next prime is 224030239. The reversal of 224030232 is 232030422.

224030232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224030231) 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, 362788 + ... + 363404.

Almost surely, 2224030232 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 224030232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319444200).

224030232 is an abundant number, since it is smaller than the sum of its proper divisors (414858168).

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

224030232 is a wasteful number, since it uses less digits than its factorization.

224030232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 224030232 is about 14967.6394932534. The cubic root of 224030232 is about 607.3451152168.

Adding to 224030232 its reverse (232030422), we get a palindrome (456060654).

The spelling of 224030232 in words is "two hundred twenty-four million, thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 617 738 984 1107 1234 1476 1681 1851 2214 2468 2952 3362 3702 4428 4936 5043 5553 6724 7404 8856 10086 11106 13448 14808 15129 16659 20172 22212 25297 30258 33318 40344 44424 45387 50594 60516 66636 75891 90774 101188 121032 133272 151782 181548 202376 227673 303564 363096 455346 607128 683019 910692 1037177 1366038 1821384 2074354 2732076 3111531 4148708 5464152 6223062 8297416 9334593 12446124 18669186 24892248 28003779 37338372 56007558 74676744 112015116 224030232