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200022021444 = 223723367282101
BaseRepresentation
bin1011101001001000111…
…1011101010101000100
3201010021212201111020110
42322102033131111010
511234121114141234
6231515554033020
720310506062320
oct2722217352504
9633255644213
10200022021444
1177913242243
1232922b78770
1315b28a5c70b
149976db4980
15530a3741e9
hex2e923dd544

200022021444 has 96 divisors (see below), whose sum is σ = 558101569536. Its totient is φ = 54515260800.

The previous prime is 200022021343. The next prime is 200022021457. The reversal of 200022021444 is 444120220002.

200022021444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 200022021444.

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 31 ways as a sum of consecutive naturals, for example, 567994 + ... + 850094.

It is an arithmetic number, because the mean of its divisors is an integer number (5813558016).

Almost surely, 2200022021444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200022021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279050784768).

200022021444 is an abundant number, since it is smaller than the sum of its proper divisors (358079548092).

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

200022021444 is a wasteful number, since it uses less digits than its factorization.

200022021444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282505 (or 282503 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 200022021444 its reverse (444120220002), we get a palindrome (644142241446).

The spelling of 200022021444 in words is "two hundred billion, twenty-two million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 367 483 644 734 966 1101 1468 1932 2202 2569 4404 5138 7707 8441 10276 15414 16882 25323 30828 33764 50646 59087 101292 118174 177261 236348 282101 354522 564202 709044 846303 1128404 1692606 1974707 3385212 3949414 5924121 6488323 7898828 11848242 12976646 19464969 23696484 25953292 38929938 45418261 77859876 90836522 103531067 136254783 181673044 207062134 272509566 310593201 414124268 545019132 621186402 724717469 1242372804 1449434938 2174152407 2381214541 2898869876 4348304814 4762429082 7143643623 8696609628 9524858164 14287287246 16668501787 28574574492 33337003574 50005505361 66674007148 100011010722 200022021444