Search a number
-
+
22002112020200 = 23521319895039949
BaseRepresentation
bin1010000000010110001000…
…00100100011111011101000
32212220101022000110002200012
411000023010010203323220
510340440311134121300
6114443344123031052
74430412563266154
oct500130404437350
985811260402605
1022002112020200
117013052706964
1225741a696b488
13c37a372841b0
14560c9d406064
152824d34a2435
hex1402c4123ee8

22002112020200 has 384 divisors, whose sum is σ = 58763426400000. Its totient is φ = 7593918013440.

The previous prime is 22002112020193. The next prime is 22002112020221. The reversal of 22002112020200 is 202021120022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2211484826 + ... + 2211494774.

It is an arithmetic number, because the mean of its divisors is an integer number (153029756250).

Almost surely, 222002112020200 is an apocalyptic number.

22002112020200 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 22002112020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29381713200000).

22002112020200 is an abundant number, since it is smaller than the sum of its proper divisors (36761314379800).

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

22002112020200 is a wasteful number, since it uses less digits than its factorization.

22002112020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10589 (or 10580 counting only the distinct ones).

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

Adding to 22002112020200 its reverse (202021120022), we get a palindrome (22204133140222).

The spelling of 22002112020200 in words is "twenty-two trillion, two billion, one hundred twelve million, twenty thousand, two hundred".