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22002112102200 = 233521911471130517
BaseRepresentation
bin1010000000010110001000…
…00100110111111100111000
32212220101022000121021011020
411000023010010313330320
510340440311144232300
6114443344124502440
74430412564060216
oct500130404677470
985811260537136
1022002112102200
11701305276252a
1225741a69aaa20
13c37a372b2609
14560c9d427cb6
152824d34bb8a0
hex1402c4137f38

22002112102200 has 192 divisors, whose sum is σ = 68610785771520. Its totient is φ = 5832499008000.

The previous prime is 22002112102199. The next prime is 22002112102211. The reversal of 22002112102200 is 220121120022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22002112102200.

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 47 ways as a sum of consecutive naturals, for example, 168511342 + ... + 168641858.

It is an arithmetic number, because the mean of its divisors is an integer number (357347842560).

Almost surely, 222002112102200 is an apocalyptic number.

22002112102200 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 22002112102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34305392885760).

22002112102200 is an abundant number, since it is smaller than the sum of its proper divisors (46608673669320).

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

22002112102200 is a wasteful number, since it uses less digits than its factorization.

22002112102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132198 (or 132189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22002112102200 its reverse (220121120022), we get a palindrome (22222233222222).

The spelling of 22002112102200 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred two thousand, two hundred".