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224224230 = 23529972657
BaseRepresentation
bin11010101110101…
…10001111100110
3120121220202211010
431113112033212
5424400133410
634125523050
75361605646
oct1527261746
9517822733
10224224230
11105628a8a
1263113486
13375b9379
1421aca526
1514a41c20
hexd5d63e6

224224230 has 64 divisors (see below), whose sum is σ = 562645440. Its totient is φ = 57114624.

The previous prime is 224224229. The next prime is 224224261. The reversal of 224224230 is 32422422.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224224197 and 224224206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83062 + ... + 85718.

It is an arithmetic number, because the mean of its divisors is an integer number (8791335).

Almost surely, 2224224230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224224230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281322720).

224224230 is an abundant number, since it is smaller than the sum of its proper divisors (338421210).

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

224224230 is a wasteful number, since it uses less digits than its factorization.

224224230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 224224230 is about 14974.1186718952. The cubic root of 224224230 is about 607.5203739208.

Adding to 224224230 its reverse (32422422), we get a palindrome (256646652).

The spelling of 224224230 in words is "two hundred twenty-four million, two hundred twenty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 97 145 174 194 290 291 435 485 582 870 970 1455 2657 2813 2910 5314 5626 7971 8439 13285 14065 15942 16878 26570 28130 39855 42195 77053 79710 84390 154106 231159 257729 385265 462318 515458 770530 773187 1155795 1288645 1546374 2311590 2577290 3865935 7474141 7731870 14948282 22422423 37370705 44844846 74741410 112112115 224224230