Base | Representation |
---|---|
bin | 11000111100001… |
… | …01111000000100 |
3 | 112120200012222222 |
4 | 30132011320010 |
5 | 412024334410 |
6 | 32432111512 |
7 | 5120204132 |
oct | 1436057004 |
9 | 476605888 |
10 | 209214980 |
11 | a8107347 |
12 | 5a095598 |
13 | 34462760 |
14 | 1db00752 |
15 | 13579955 |
hex | c785e04 |
209214980 has 48 divisors (see below), whose sum is σ = 477401904. Its totient is φ = 76554240.
The previous prime is 209214931. The next prime is 209214997. The reversal of 209214980 is 89412902.
It can be written as a sum of positive squares in 8 ways, for example, as 130325056 + 78889924 = 11416^2 + 8882^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 209214980.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25820 + ... + 32940.
It is an arithmetic number, because the mean of its divisors is an integer number (9945873).
Almost surely, 2209214980 is an apocalyptic number.
209214980 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 209214980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238700952).
209214980 is an abundant number, since it is smaller than the sum of its proper divisors (268186924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
209214980 is a wasteful number, since it uses less digits than its factorization.
209214980 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7256 (or 7254 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 35.
The square root of 209214980 is about 14464.2656225610. The cubic root of 209214980 is about 593.6506200429.
The spelling of 209214980 in words is "two hundred nine million, two hundred fourteen thousand, nine hundred eighty".
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