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2213002310200 = 23521119241219679
BaseRepresentation
bin100000001101000001001…
…101110111001000111000
321211120010221021022220221
4200031001031313020320
5242224212042411300
64412350023425424
7315612155161003
oct40150115671070
97746127238827
102213002310200
117835901250a0
122b8a89bb5274
131308ba583906
147917773c53a
153c872bad31a
hex20341377238

2213002310200 has 192 divisors, whose sum is σ = 5932941696000. Its totient is φ = 759207168000.

The previous prime is 2213002310191. The next prime is 2213002310261. The reversal of 2213002310200 is 20132003122.

It is a congruent number.

It is an unprimeable number.

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, 9963961 + ... + 10183639.

It is an arithmetic number, because the mean of its divisors is an integer number (30900738000).

Almost surely, 22213002310200 is an apocalyptic number.

2213002310200 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 2213002310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966470848000).

2213002310200 is an abundant number, since it is smaller than the sum of its proper divisors (3719939385800).

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

2213002310200 is a wasteful number, since it uses less digits than its factorization.

2213002310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219966 (or 219957 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2213002310200 its reverse (20132003122), we get a palindrome (2233134313322).

The spelling of 2213002310200 in words is "two trillion, two hundred thirteen billion, two million, three hundred ten thousand, two hundred".