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224221221 = 32737432237
BaseRepresentation
bin11010101110101…
…01100000100101
3120121220121200200
431113111200211
5424400034341
634125501113
75361564120
oct1527254045
9517817620
10224221221
111056267a4
1263111799
13375b7ba3
1421ac93b7
1514a40db6
hexd5d5825

224221221 has 48 divisors (see below), whose sum is σ = 389161344. Its totient is φ = 121709952.

The previous prime is 224221199. The next prime is 224221241. The reversal of 224221221 is 122122422.

224221221 is a `hidden beast` number, since 22 + 422 + 1 + 221 = 666.

224221221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224221221 - 25 = 224221189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224221194 and 224221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224221241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99115 + ... + 101351.

It is an arithmetic number, because the mean of its divisors is an integer number (8107528).

Almost surely, 2224221221 is an apocalyptic number.

224221221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224221221 is a deficient number, since it is larger than the sum of its proper divisors (164940123).

224221221 is a wasteful number, since it uses less digits than its factorization.

224221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2327 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 224221221 is about 14974.0181981992. The cubic root of 224221221 is about 607.5176563481.

Adding to 224221221 its reverse (122122422), we get a palindrome (346343643).

It can be divided in two parts, 224 and 221221, that added together give a triangular number (221445 = T665).

The spelling of 224221221 in words is "two hundred twenty-four million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 43 63 111 129 259 301 333 387 777 903 1591 2237 2331 2709 4773 6711 11137 14319 15659 20133 33411 46977 82769 96191 100233 140931 248307 288573 579383 673337 744921 865719 1738149 2020011 3559067 5214447 6060033 10677201 24913469 32031603 74740407 224221221