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22001210220200 = 235223113229184831
BaseRepresentation
bin1010000000010100011100…
…10100011101111010101000
32212220021222011112220122012
411000022032110131322220
510340431434304021300
6114443114430215052
74430351333152511
oct500121624357250
985807864486565
1022001210220200
11701272a665202
122573b94954488
13c379224aa423
14560c1573ba08
1528247e21c435
hex14028e51dea8

22001210220200 has 192 divisors, whose sum is σ = 54084652646400. Its totient is φ = 8306881228800.

The previous prime is 22001210220167. The next prime is 22001210220233. The reversal of 22001210220200 is 202201210022.

It is an interprime number because it is at equal distance from previous prime (22001210220167) and next prime (22001210220233).

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 47 ways as a sum of consecutive naturals, for example, 118941785 + ... + 119126615.

It is an arithmetic number, because the mean of its divisors is an integer number (281690899200).

Almost surely, 222001210220200 is an apocalyptic number.

22001210220200 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 22001210220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27042326323200).

22001210220200 is an abundant number, since it is smaller than the sum of its proper divisors (32083442426200).

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

22001210220200 is a wasteful number, since it uses less digits than its factorization.

22001210220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185212 (or 185203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22001210220200 its reverse (202201210022), we get a palindrome (22203411430222).

The spelling of 22001210220200 in words is "twenty-two trillion, one billion, two hundred ten million, two hundred twenty thousand, two hundred".