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212300203200 = 26352476115427
BaseRepresentation
bin1100010110111000010…
…1000000010011000000
3202021222120021202012220
43011232011000103000
511434242323000300
6241310202051040
721223665644511
oct3055605002300
9667876252186
10212300203200
1182043a25998
123518aaa9a80
1317034723117
14a3bd926a08
1557c8243da0
hex316e1404c0

212300203200 has 336 divisors, whose sum is σ = 723049388544. Its totient is φ = 54496972800.

The previous prime is 212300203187. The next prime is 212300203207. The reversal of 212300203200 is 2302003212.

It is a super-2 number, since 2×2123002032002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212300203200.

It is not an unprimeable number, because it can be changed into a prime (212300203207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13753887 + ... + 13769313.

It is an arithmetic number, because the mean of its divisors is an integer number (2151932704).

Almost surely, 2212300203200 is an apocalyptic number.

212300203200 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 212300203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361524694272).

212300203200 is an abundant number, since it is smaller than the sum of its proper divisors (510749185344).

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

212300203200 is a wasteful number, since it uses less digits than its factorization.

212300203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15560 (or 15545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212300203200 its reverse (2302003212), we get a palindrome (214602206412).

The spelling of 212300203200 in words is "two hundred twelve billion, three hundred million, two hundred three thousand, two hundred".