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221020208640 = 29325711197983
BaseRepresentation
bin1100110111010111010…
…1001011111000000000
3210010111021111220220100
43031311311023320000
512110122133134030
6245311342042400
721653041530060
oct3156565137000
9703437456810
10221020208640
1185809167060
1236a03279400
1317ac418b35a
14a9a9a953a0
155b38a64360
hex3375d4be00

221020208640 has 1920 divisors, whose sum is σ = 1029534105600. Its totient is φ = 42440785920.

The previous prime is 221020208623. The next prime is 221020208671. The reversal of 221020208640 is 46802020122.

It is a happy number.

221020208640 is a `hidden beast` number, since 2 + 2 + 10 + 2 + 0 + 2 + 0 + 8 + 640 = 666.

221020208640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 2662894039 + ... + 2662894121.

It is an arithmetic number, because the mean of its divisors is an integer number (536215680).

Almost surely, 2221020208640 is an apocalyptic number.

221020208640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514767052800).

221020208640 is an abundant number, since it is smaller than the sum of its proper divisors (808513896960).

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

221020208640 is a wasteful number, since it uses less digits than its factorization.

221020208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 221020208640 its reverse (46802020122), we get a palindrome (267822228762).

The spelling of 221020208640 in words is "two hundred twenty-one billion, twenty million, two hundred eight thousand, six hundred forty".