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2221122110200 = 2352714952320359
BaseRepresentation
bin100000010100100101001…
…100011100001011111000
321212100002211002220112021
4200110211030130023320
5242342324230011300
64420211443124224
7316320322300210
oct40244514341370
97770084086467
102221122110200
11786a77588004
122ba575373674
131315b28808b6
1479707cad240
153cb9a96ed1a
hex2052531c2f8

2221122110200 has 192 divisors, whose sum is σ = 5953101120000. Its totient is φ = 754933271040.

The previous prime is 2221122110191. The next prime is 2221122110201. The reversal of 2221122110200 is 20112211222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221122110201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 109087621 + ... + 109107979.

It is an arithmetic number, because the mean of its divisors is an integer number (31005735000).

Almost surely, 22221122110200 is an apocalyptic number.

2221122110200 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 2221122110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976550560000).

2221122110200 is an abundant number, since it is smaller than the sum of its proper divisors (3731979009800).

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

2221122110200 is a wasteful number, since it uses less digits than its factorization.

2221122110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21054 (or 21045 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2221122110200 its reverse (20112211222), we get a palindrome (2241234321422).

The spelling of 2221122110200 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, two hundred".