Search a number
-
+
2202022210120 = 2353143127433751
BaseRepresentation
bin100000000010110010110…
…000000110101001001000
321210111210201021110020121
4200002302300012221020
5242034220141210440
64403332310033024
7315043106646265
oct40026260065110
97714721243217
102202022210120
11779966149417
122b6924948774
1312c85a805c85
147881536c26c
153c42dc5034a
hex200b2c06a48

2202022210120 has 256 divisors, whose sum is σ = 5293741178880. Its totient is φ = 823011840000.

The previous prime is 2202022210111. The next prime is 2202022210153. The reversal of 2202022210120 is 210122202022.

It is a junction number, because it is equal to n+sod(n) for n = 2202022210094 and 2202022210103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2932119745 + ... + 2932120495.

It is an arithmetic number, because the mean of its divisors is an integer number (20678676480).

Almost surely, 22202022210120 is an apocalyptic number.

2202022210120 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 2202022210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646870589440).

2202022210120 is an abundant number, since it is smaller than the sum of its proper divisors (3091718968760).

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

2202022210120 is a wasteful number, since it uses less digits than its factorization.

2202022210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2202022210120 its reverse (210122202022), we get a palindrome (2412144412142).

It can be divided in two parts, 2202022 and 210120, that added together give a palindrome (2412142).

The spelling of 2202022210120 in words is "two trillion, two hundred two billion, twenty-two million, two hundred ten thousand, one hundred twenty".