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21422324304 = 24321013146857
BaseRepresentation
bin10011111100110111…
…101011101001010000
32001021221212211101200
4103330313223221100
5322333103334204
613501414431200
71355602515663
oct237467535120
961257784350
1021422324304
1190a3386357
12419a362500
132035271754
1410731696da
15855a70539
hex4fcdeba50

21422324304 has 60 divisors (see below), whose sum is σ = 60012346836. Its totient is φ = 7133677056.

The previous prime is 21422324239. The next prime is 21422324309. The reversal of 21422324304 is 40342322412.

21422324304 is a `hidden beast` number, since 2 + 1 + 4 + 223 + 2 + 430 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5937010704 + 15485313600 = 77052^2 + 124440^2 .

It is a super-3 number, since 3×214223243043 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21422324309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72444 + ... + 219300.

Almost surely, 221422324304 is an apocalyptic number.

21422324304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21422324304 is an abundant number, since it is smaller than the sum of its proper divisors (38590022532).

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

21422324304 is a wasteful number, since it uses less digits than its factorization.

21422324304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147884 (or 147875 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21422324304 its reverse (40342322412), we get a palindrome (61764646716).

The spelling of 21422324304 in words is "twenty-one billion, four hundred twenty-two million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1013 2026 3039 4052 6078 8104 9117 12156 16208 18234 24312 36468 48624 72936 145872 146857 293714 440571 587428 881142 1174856 1321713 1762284 2349712 2643426 3524568 5286852 7049136 10573704 21147408 148766141 297532282 446298423 595064564 892596846 1190129128 1338895269 1785193692 2380258256 2677790538 3570387384 5355581076 7140774768 10711162152 21422324304