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224552133 = 321317229229
BaseRepresentation
bin11010110001001…
…10010011000101
3120122112102121200
431120212103011
5424441132013
634140533113
75364442641
oct1530462305
9518472550
10224552133
11105832383
1263251199
13376a26b0
1421b73c21
1514aa8e73
hexd6264c5

224552133 has 72 divisors (see below), whose sum is σ = 385530600. Its totient is φ = 125024256.

The previous prime is 224552093. The next prime is 224552143. The reversal of 224552133 is 331255422.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 91809 + 224460324 = 303^2 + 14982^2 .

It is not a de Polignac number, because 224552133 - 213 = 224543941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224552097 and 224552106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224552143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 980463 + ... + 980691.

Almost surely, 2224552133 is an apocalyptic number.

It is an amenable number.

224552133 is a deficient number, since it is larger than the sum of its proper divisors (160978467).

224552133 is a wasteful number, since it uses less digits than its factorization.

224552133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 224552133 is about 14985.0636635284. The cubic root of 224552133 is about 607.8163733401.

The spelling of 224552133 in words is "two hundred twenty-four million, five hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 17 29 39 51 87 117 153 221 229 261 289 377 493 663 687 867 1131 1479 1989 2061 2601 2977 3393 3757 3893 4437 6409 6641 8381 8931 11271 11679 19227 19923 25143 26793 33813 35037 50609 57681 59769 66181 75429 86333 108953 112897 151827 198543 258999 326859 338691 455481 595629 776997 860353 980577 1016073 1467661 1919249 2581059 4402983 5757747 7743177 13208949 17273241 24950237 74850711 224552133