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212322300200 = 23524197573347
BaseRepresentation
bin1100010110111101100…
…1010011000100101000
3202022001002212101121022
43011233121103010220
511434314002101300
6241312311432012
721224354526323
oct3055731230450
9668032771538
10212322300200
118205544877a
1235196385608
131703918bb7a
14a3c28397ba
1557ca15b285
hex316f653128

212322300200 has 96 divisors (see below), whose sum is σ = 495629215200. Its totient is φ = 84589021440.

The previous prime is 212322300193. The next prime is 212322300227. The reversal of 212322300200 is 2003223212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63434927 + ... + 63438273.

It is an arithmetic number, because the mean of its divisors is an integer number (5162804325).

Almost surely, 2212322300200 is an apocalyptic number.

212322300200 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 212322300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247814607600).

212322300200 is an abundant number, since it is smaller than the sum of its proper divisors (283306915000).

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

212322300200 is a wasteful number, since it uses less digits than its factorization.

212322300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 212322300200 its reverse (2003223212), we get a palindrome (214325523412).

The spelling of 212322300200 in words is "two hundred twelve billion, three hundred twenty-two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 419 757 838 1514 1676 2095 3028 3347 3352 3785 4190 6056 6694 7570 8380 10475 13388 15140 16735 16760 18925 20950 26776 30280 33470 37850 41900 66940 75700 83675 83800 133880 151400 167350 317183 334700 634366 669400 1268732 1402393 1585915 2533679 2537464 2804786 3171830 5067358 5609572 6343660 7011965 7929575 10134716 11219144 12668395 12687320 14023930 15859150 20269432 25336790 28047860 31718300 35059825 50673580 56095720 63341975 63436600 70119650 101347160 126683950 140239300 253367900 280478600 506735800 1061611501 2123223002 4246446004 5308057505 8492892008 10616115010 21232230020 26540287525 42464460040 53080575050 106161150100 212322300200