Search a number
-
+
209384224 = 2571376823
BaseRepresentation
bin11000111101011…
…11001100100000
3112120222211011021
430132233030200
5412100243344
632435455224
75121510430
oct1436571440
9476884137
10209384224
11a8212515
125a157514
13344c17ba
141db462c0
15135aeb84
hexc7af320

209384224 has 48 divisors (see below), whose sum is σ = 474622848. Its totient is φ = 89068032.

The previous prime is 209384213. The next prime is 209384233. The reversal of 209384224 is 422483902.

209384224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 209384224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27277 + ... + 34099.

It is an arithmetic number, because the mean of its divisors is an integer number (9887976).

Almost surely, 2209384224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209384224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237311424).

209384224 is an abundant number, since it is smaller than the sum of its proper divisors (265238624).

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

209384224 is a wasteful number, since it uses less digits than its factorization.

209384224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 209384224 is about 14470.1148578717. The cubic root of 209384224 is about 593.8106543540.

The spelling of 209384224 in words is "two hundred nine million, three hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 6823 7672 13646 15344 27292 30688 47761 54584 95522 109168 191044 218336 382088 764176 934751 1528352 1869502 3739004 6543257 7478008 13086514 14956016 26173028 29912032 52346056 104692112 209384224