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223242201 = 327133753139
BaseRepresentation
bin11010100111001…
…10011111011001
3120120001212201200
431103212133121
5424122222301
634052504413
75350345620
oct1523463731
9516055650
10223242201
11105018196
126291b109
13373343a0
14219126b7
15148eac86
hexd4e67d9

223242201 has 96 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 111601152.

The previous prime is 223242199. The next prime is 223242211. The reversal of 223242201 is 102242322.

223242201 is a `hidden beast` number, since 223 + 242 + 201 = 666.

It is not a de Polignac number, because 223242201 - 21 = 223242199 is a prime.

It is a super-3 number, since 3×2232422013 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223242211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1605990 + ... + 1606128.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2223242201 is an apocalyptic number.

223242201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223242201 is a deficient number, since it is larger than the sum of its proper divisors (195037479).

223242201 is a wasteful number, since it uses less digits than its factorization.

223242201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

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

The square root of 223242201 is about 14941.2918116206. The cubic root of 223242201 is about 606.6321622622.

Adding to 223242201 its reverse (102242322), we get a palindrome (325484523).

The spelling of 223242201 in words is "two hundred twenty-three million, two hundred forty-two thousand, two hundred one".

Divisors: 1 3 7 9 13 21 37 39 53 63 91 111 117 139 159 259 273 333 371 417 477 481 689 777 819 973 1113 1251 1443 1807 1961 2067 2331 2919 3339 3367 4329 4823 5143 5421 5883 6201 7367 8757 10101 12649 13727 14469 15429 16263 17649 22101 25493 30303 36001 37947 41181 43407 46287 51569 66303 66859 76479 95771 108003 113841 123543 154707 178451 200577 229437 272579 287313 324009 464121 468013 535353 601731 670397 817737 861939 1404039 1606059 1908053 2011191 2453211 3543527 4212117 5724159 6033573 10630581 17172477 24804689 31891743 74414067 223242201