Search a number
-
+
20200002222000 = 24353371011635527
BaseRepresentation
bin1001001011111001011011…
…11101001111011110110000
32122112002201212221002011110
410211330231331033132300
510121424101032101000
6110543430343513320
74153254612612006
oct445745575173660
978462655832143
1020200002222000
1164888557066a7
122322a8ba58840
13b36b0cc003b3
144db98475aa76
152506ad5e8850
hex125f2df4f7b0

20200002222000 has 640 divisors, whose sum is σ = 67973860251648. Its totient is φ = 5156421120000.

The previous prime is 20200002221891. The next prime is 20200002222007. The reversal of 20200002222000 is 22220000202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

20200002222000 is a modest number, since divided by 2222000 gives 202000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (20200002222007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3654783237 + ... + 3654788763.

Almost surely, 220200002222000 is an apocalyptic number.

20200002222000 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 20200002222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33986930125824).

20200002222000 is an abundant number, since it is smaller than the sum of its proper divisors (47773858029648).

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

20200002222000 is a wasteful number, since it uses less digits than its factorization.

20200002222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20200002222000 its reverse (22220000202), we get a palindrome (20222222222202).

The spelling of 20200002222000 in words is "twenty trillion, two hundred billion, two million, two hundred twenty-two thousand".