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2221230112200 = 23325211294194351
BaseRepresentation
bin100000010100101011101…
…000011011110111001000
321212100101100022222102100
4200110223220123313020
5242343034402042300
64420230302033400
7316323103300641
oct40245350336710
97770340288370
102221230112200
11787022544560
122ba5a5578860
131315cc0666c8
14797183846c8
153cba51a5700
hex2052ba1bdc8

2221230112200 has 576 divisors, whose sum is σ = 8623810540800. Its totient is φ = 507225600000.

The previous prime is 2221230112181. The next prime is 2221230112207. The reversal of 2221230112200 is 22110321222.

2221230112200 is a `hidden beast` number, since 2 + 221 + 230 + 1 + 12 + 200 = 666.

It is a super-2 number, since 2×22212301122002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2221230112207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 23495025 + ... + 23589375.

It is an arithmetic number, because the mean of its divisors is an integer number (14971893300).

Almost surely, 22221230112200 is an apocalyptic number.

2221230112200 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 2221230112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311905270400).

2221230112200 is an abundant number, since it is smaller than the sum of its proper divisors (6402580428600).

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

2221230112200 is a wasteful number, since it uses less digits than its factorization.

2221230112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94454 (or 94442 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2221230112200 its reverse (22110321222), we get a palindrome (2243340433422).

The spelling of 2221230112200 in words is "two trillion, two hundred twenty-one billion, two hundred thirty million, one hundred twelve thousand, two hundred".