Search a number
-
+
2022210011000 = 235331731814937
BaseRepresentation
bin11101011011010101000…
…110111111111101111000
321011022200021220022101002
4131123111012333331320
5231112441230323000
64144553534344132
7266046151324514
oct35332506777570
97138607808332
102022210011000
1170a683917883
12287b0205b048
13118902a6720a
146dc3849b144
1537907c918d5
hex1d6d51bff78

2022210011000 has 256 divisors, whose sum is σ = 4979893201920. Its totient is φ = 767646720000.

The previous prime is 2022210010963. The next prime is 2022210011023. The reversal of 2022210011000 is 1100122202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409600532 + ... + 409605468.

It is an arithmetic number, because the mean of its divisors is an integer number (19452707820).

Almost surely, 22022210011000 is an apocalyptic number.

2022210011000 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 2022210011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489946600960).

2022210011000 is an abundant number, since it is smaller than the sum of its proper divisors (2957683190920).

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

2022210011000 is a wasteful number, since it uses less digits than its factorization.

2022210011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2022210011000 its reverse (1100122202), we get a palindrome (2023310133202).

The spelling of 2022210011000 in words is "two trillion, twenty-two billion, two hundred ten million, eleven thousand".