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214343223545200 = 2452624598579357
BaseRepresentation
bin110000101111000110101011…
…101100110000110101110000
31001002221000022210012122021111
4300233012223230300311300
5211043244410211421300
62035511530104203104
763101533615664431
oct6057065354606560
91032830283178244
10214343223545200
11623294a5858512
122005919ba69494
13927a62cbb7779
143ad03a5959488
1519ba85c1329ba
hexc2f1abb30d70

214343223545200 has 60 divisors (see below), whose sum is σ = 514967899353480. Its totient is φ = 85735906727680.

The previous prime is 214343223545179. The next prime is 214343223545203. The reversal of 214343223545200 is 2545322343412.

214343223545200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214343223545203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20693922 + ... + 29273278.

It is an arithmetic number, because the mean of its divisors is an integer number (8582798322558).

Almost surely, 2214343223545200 is an apocalyptic number.

214343223545200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214343223545200 is an abundant number, since it is smaller than the sum of its proper divisors (300624675808280).

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

214343223545200 is a wasteful number, since it uses less digits than its factorization.

214343223545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8641834 (or 8641823 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 214343223545200 its reverse (2545322343412), we get a palindrome (216888545888612).

The spelling of 214343223545200 in words is "two hundred fourteen trillion, three hundred forty-three billion, two hundred twenty-three million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 62459 124918 249836 312295 499672 624590 999344 1249180 1561475 2498360 3122950 4996720 6245900 8579357 12491800 17158714 24983600 34317428 42896785 68634856 85793570 137269712 171587140 214483925 343174280 428967850 686348560 857935700 1715871400 3431742800 535858058863 1071716117726 2143432235452 2679290294315 4286864470904 5358580588630 8573728941808 10717161177260 13396451471575 21434322354520 26792902943150 42868644709040 53585805886300 107171611772600 214343223545200