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221324304440 = 23528319551617
BaseRepresentation
bin1100111000011111110…
…1001110000000111000
3210011021110201120220202
43032013331032000320
512111233010220230
6245401443541332
721663423355541
oct3160775160070
9704243646822
10221324304440
11859548887a8
1236a8908a848
1317b421914b5
14a9d82134c8
155b555d1a45
hex3387f4e038

221324304440 has 32 divisors (see below), whose sum is σ = 499739356080. Its totient is φ = 88216891392.

The previous prime is 221324304413. The next prime is 221324304473. The reversal of 221324304440 is 44403423122.

221324304440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9764489 + ... + 9787128.

Almost surely, 2221324304440 is an apocalyptic number.

221324304440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221324304440 is an abundant number, since it is smaller than the sum of its proper divisors (278415051640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221324304440 is a wasteful number, since it uses less digits than its factorization.

221324304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551911 (or 19551907 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 221324304440 its reverse (44403423122), we get a palindrome (265727727562).

The spelling of 221324304440 in words is "two hundred twenty-one billion, three hundred twenty-four million, three hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 283 566 1132 1415 2264 2830 5660 11320 19551617 39103234 78206468 97758085 156412936 195516170 391032340 782064680 5533107611 11066215222 22132430444 27665538055 44264860888 55331076110 110662152220 221324304440