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212204045300 = 225213179601993
BaseRepresentation
bin1100010110100001011…
…0001100001111110100
3202021201212100102101012
43011220112030033310
511434043213422200
6241252445051352
721221420424002
oct3055026141764
9667655312335
10212204045300
1181aa4719055
1235162856b58
131701a826360
14a3b0c55a72
1557bea9ca35
hex316858c3f4

212204045300 has 72 divisors (see below), whose sum is σ = 525075439896. Its totient is φ = 73743298560.

The previous prime is 212204045299. The next prime is 212204045309. The reversal of 212204045300 is 3540402212.

It is a happy number.

212204045300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13007858704 + 199196186596 = 114052^2 + 446314^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212204045309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4778897 + ... + 4823096.

It is an arithmetic number, because the mean of its divisors is an integer number (7292714443).

Almost surely, 2212204045300 is an apocalyptic number.

212204045300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212204045300 is an abundant number, since it is smaller than the sum of its proper divisors (312871394596).

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

212204045300 is a wasteful number, since it uses less digits than its factorization.

212204045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602037 (or 9602030 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 212204045300 its reverse (3540402212), we get a palindrome (215744447512).

The spelling of 212204045300 in words is "two hundred twelve billion, two hundred four million, forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 9601993 19203986 38407972 48009965 96019930 124825909 163233881 192039860 240049825 249651818 326467762 480099650 499303636 624129545 652935524 816169405 960199300 1248259090 1632338810 2122040453 2496518180 3120647725 3264677620 4080847025 4244080906 6241295450 8161694050 8488161812 10610202265 12482590900 16323388100 21220404530 42440809060 53051011325 106102022650 212204045300