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2201022202200 = 23352193113147543
BaseRepresentation
bin100000000001110111001…
…001011000000101011000
321210102020000120210021020
4200001313021120011120
5242030143140432300
64403045144242440
7315006245013303
oct40016711300530
97712200523236
102201022202200
117794a271a698
122b66a5a70420
1312c72b595303
147875c61bb3a
153c3c106b8a0
hex20077258158

2201022202200 has 384 divisors, whose sum is σ = 7470721843200. Its totient is φ = 533991744000.

The previous prime is 2201022202177. The next prime is 2201022202207. The reversal of 2201022202200 is 22022201022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201022202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201022202207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46271629 + ... + 46319171.

It is an arithmetic number, because the mean of its divisors is an integer number (19455004800).

Almost surely, 22201022202200 is an apocalyptic number.

2201022202200 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 2201022202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735360921600).

2201022202200 is an abundant number, since it is smaller than the sum of its proper divisors (5269699641000).

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

2201022202200 is a wasteful number, since it uses less digits than its factorization.

2201022202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47743 (or 47734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2201022202200 its reverse (22022201022), we get a palindrome (2223044403222).

The spelling of 2201022202200 in words is "two trillion, two hundred one billion, twenty-two million, two hundred two thousand, two hundred".