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2213030030320 = 245671033399689
BaseRepresentation
bin100000001101000010110…
…111100110101111110000
321211120012212102122210001
4200031002313212233300
5242224241141432240
64412352453515344
7315612642612454
oct40150267465760
97746185378701
102213030030320
117835a483868a
122b8a97342b54
131308c323ac55
147917b2b6664
153c87533689a
hex20342de6bf0

2213030030320 has 80 divisors (see below), whose sum is σ = 5227158610080. Its totient is φ = 871153569792.

The previous prime is 2213030030297. The next prime is 2213030030389. The reversal of 2213030030320 is 230300303122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5337036 + ... + 5736724.

It is an arithmetic number, because the mean of its divisors is an integer number (65339482626).

Almost surely, 22213030030320 is an apocalyptic number.

2213030030320 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 2213030030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613579305040).

2213030030320 is an abundant number, since it is smaller than the sum of its proper divisors (3014128579760).

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

2213030030320 is a wasteful number, since it uses less digits than its factorization.

2213030030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400802 (or 400796 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2213030030320 its reverse (230300303122), we get a palindrome (2443330333442).

The spelling of 2213030030320 in words is "two trillion, two hundred thirteen billion, thirty million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1033 1072 1340 2066 2680 4132 5165 5360 8264 10330 16528 20660 41320 69211 82640 138422 276844 346055 399689 553688 692110 799378 1107376 1384220 1598756 1998445 2768440 3197512 3996890 5536880 6395024 7993780 15987560 26779163 31975120 53558326 107116652 133895815 214233304 267791630 412878737 428466608 535583260 825757474 1071166520 1651514948 2064393685 2142333040 3303029896 4128787370 6606059792 8257574740 16515149480 27662875379 33030298960 55325750758 110651501516 138314376895 221303003032 276628753790 442606006064 553257507580 1106515015160 2213030030320