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214984194300 = 223252973976203
BaseRepresentation
bin1100100000111000001…
…1100111100011111100
3202112220121200121211200
43020032003213203330
512010241423204200
6242432401215500
721350336333451
oct3101603474374
9675817617750
10214984194300
11831a0a78157
12357b9931590
13173717c2c35
14a59618d828
1558d3bb5800
hex320e0e78fc

214984194300 has 216 divisors, whose sum is σ = 682627881936. Its totient is φ = 56586055680.

The previous prime is 214984194283. The next prime is 214984194301. The reversal of 214984194300 is 3491489412.

214984194300 is a `hidden beast` number, since 2 + 1 + 498 + 41 + 94 + 30 + 0 = 666.

214984194300 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214984194301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34654999 + ... + 34661201.

Almost surely, 2214984194300 is an apocalyptic number.

214984194300 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 214984194300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341313940968).

214984194300 is an abundant number, since it is smaller than the sum of its proper divisors (467643687636).

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

214984194300 is a wasteful number, since it uses less digits than its factorization.

214984194300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 214984194300 in words is "two hundred fourteen billion, nine hundred eighty-four million, one hundred ninety-four thousand, three hundred".