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22022021000200 = 235213316722318287
BaseRepresentation
bin1010000000111011001101…
…01111010010110000001000
32212222021200111201001221211
411000131212233102300020
510341302044334001300
6114500435441342504
74432016131651504
oct500354657226010
985867614631854
1022022021000200
117020539818241
122578022337a34
13c3988ab40830
14561c2b597304
15282c9b23e4ba
hex140766bd2c08

22022021000200 has 384 divisors, whose sum is σ = 58030205829120. Its totient is φ = 7716282393600.

The previous prime is 22022021000171. The next prime is 22022021000251. The reversal of 22022021000200 is 200012022022.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 95 ways as a sum of consecutive naturals, for example, 1204235457 + ... + 1204253743.

It is an arithmetic number, because the mean of its divisors is an integer number (151120327680).

Almost surely, 222022021000200 is an apocalyptic number.

22022021000200 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 22022021000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29015102914560).

22022021000200 is an abundant number, since it is smaller than the sum of its proper divisors (36008184828920).

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

22022021000200 is a wasteful number, since it uses less digits than its factorization.

22022021000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18637 (or 18628 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22022021000200 its reverse (200012022022), we get a palindrome (22222033022222).

The spelling of 22022021000200 in words is "twenty-two trillion, twenty-two billion, twenty-one million, two hundred", and thus it is an aban number.