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219868064 = 25137272
BaseRepresentation
bin11010001101011…
…10101110100000
3120022201110021122
431012232232200
5422241234224
633452311412
75306563523
oct1506565640
9508643248
10219868064
11103123149
1261772568
1336722660
14212b4bba
151448115e
hexd1aeba0

219868064 has 36 divisors (see below), whose sum is σ = 466804674. Its totient is φ = 101337984.

The previous prime is 219868049. The next prime is 219868081. The reversal of 219868064 is 460868912.

It is a happy number.

219868064 is digitally balanced in base 2, 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 only one way, i.e., 211411600 + 8456464 = 14540^2 + 2908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302069 + ... + 302795.

Almost surely, 2219868064 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 219868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233402337).

219868064 is an abundant number, since it is smaller than the sum of its proper divisors (246936610).

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

219868064 is an frugal number, since it uses more digits than its factorization.

219868064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 219868064 is about 14827.9487455278. The cubic root of 219868064 is about 603.5603718719.

The spelling of 219868064 in words is "two hundred nineteen million, eight hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 727 1454 2908 5816 9451 11632 18902 23264 37804 75608 151216 302432 528529 1057058 2114116 4228232 6870877 8456464 13741754 16912928 27483508 54967016 109934032 219868064