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224431221 = 37259113229
BaseRepresentation
bin11010110000010…
…00110001110101
3120122022021202110
431120020301311
5424423244341
634134201233
75363430300
oct1530106165
9518267673
10224431221
1110575a553
12631b3219
133765c651
1421b41b37
1514a83216
hexd608c75

224431221 has 48 divisors (see below), whose sum is σ = 358689600. Its totient is φ = 124411392.

The previous prime is 224431199. The next prime is 224431223. The reversal of 224431221 is 122134422.

It is not a de Polignac number, because 224431221 - 214 = 224414837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224431223) 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 47 ways as a sum of consecutive naturals, for example, 979935 + ... + 980163.

It is an arithmetic number, because the mean of its divisors is an integer number (7472700).

Almost surely, 2224431221 is an apocalyptic number.

224431221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224431221 is a deficient number, since it is larger than the sum of its proper divisors (134258379).

224431221 is a wasteful number, since it uses less digits than its factorization.

224431221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 224431221 is about 14981.0287029963. The cubic root of 224431221 is about 607.7072591266.

Adding to 224431221 its reverse (122134422), we get a palindrome (346565643).

The spelling of 224431221 in words is "two hundred twenty-four million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 21 49 59 113 147 177 229 339 413 687 791 1239 1603 2373 2891 4809 5537 6667 8673 11221 13511 16611 20001 25877 33663 40533 46669 77631 94577 140007 181139 283731 326683 543417 662039 980049 1267973 1526743 1986117 3803919 4580229 10687201 32061603 74810407 224431221