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224230230 = 23257418681
BaseRepresentation
bin11010101110101…
…11101101010110
3120121221002001100
431113113231112
5424400331410
634130010530
75361632310
oct1527275526
9517832040
10224230230
11105632544
1263116a46
13375bc013
1421acc7b0
1514a438c0
hexd5d7b56

224230230 has 96 divisors (see below), whose sum is σ = 682613568. Its totient is φ = 49996800.

The previous prime is 224230219. The next prime is 224230241. The reversal of 224230230 is 32032422.

It is an interprime number because it is at equal distance from previous prime (224230219) and next prime (224230241).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21490 + ... + 30170.

It is an arithmetic number, because the mean of its divisors is an integer number (7110558).

Almost surely, 2224230230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224230230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341306784).

224230230 is an abundant number, since it is smaller than the sum of its proper divisors (458383338).

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

224230230 is a wasteful number, since it uses less digits than its factorization.

224230230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8739 counting only the distinct ones).

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

The square root of 224230230 is about 14974.3190162358. The cubic root of 224230230 is about 607.5257927371.

Adding to 224230230 its reverse (32032422), we get a palindrome (256262652).

The spelling of 224230230 in words is "two hundred twenty-four million, two hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 5166 8610 8681 12915 17362 25830 26043 43405 52086 60767 78129 86810 121534 130215 156258 182301 260430 303835 355921 364602 390645 546903 607670 711842 781290 911505 1067763 1093806 1779605 1823010 2135526 2491447 2734515 3203289 3559210 4982894 5338815 5469030 6406578 7474341 10677630 12457235 14948682 16016445 22423023 24914470 32032890 37371705 44846046 74743410 112115115 224230230