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223216461 = 32133161543
BaseRepresentation
bin11010100111000…
…00001101001101
3120120000120102100
431103200031031
5424120411321
634052145313
75350210566
oct1523401515
9516016370
10223216461
11104aaa916
1262908239
1337325760
142190716d
15148e3326
hexd4e034d

223216461 has 24 divisors (see below), whose sum is σ = 358432256. Its totient is φ = 132930720.

The previous prime is 223216459. The next prime is 223216493. The reversal of 223216461 is 164612322.

It is not a de Polignac number, because 223216461 - 21 = 223216459 is a prime.

It is a super-3 number, since 3×2232164613 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223212461) 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 23 ways as a sum of consecutive naturals, for example, 27145 + ... + 34398.

Almost surely, 2223216461 is an apocalyptic number.

It is an amenable number.

223216461 is a deficient number, since it is larger than the sum of its proper divisors (135215795).

223216461 is a wasteful number, since it uses less digits than its factorization.

223216461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61593 (or 61590 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 223216461 is about 14940.4304154867. The cubic root of 223216461 is about 606.6088463122.

Adding to 223216461 its reverse (164612322), we get a palindrome (387828783).

It can be divided in two parts, 22321 and 6461, that added together give a palindrome (28782).

The spelling of 223216461 in words is "two hundred twenty-three million, two hundred sixteen thousand, four hundred sixty-one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 61543 184629 553887 800059 1907833 2400177 5723499 7200531 17170497 24801829 74405487 223216461