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216128 = 2611307
BaseRepresentation
bin110100110001000000
3101222110202
4310301000
523404003
64344332
71560053
oct646100
9358422
10216128
11138420
12a50a8
13774b3
1458a9a
1544088
hex34c40

216128 has 28 divisors (see below), whose sum is σ = 469392. Its totient is φ = 97920.

The previous prime is 216127. The next prime is 216133. The reversal of 216128 is 821612.

It is a super-2 number, since 2×2161282 = 93422624768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 551 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (16764).

2216128 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 216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234696).

216128 is an abundant number, since it is smaller than the sum of its proper divisors (253264).

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

216128 is a wasteful number, since it uses less digits than its factorization.

216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 216128 is about 464.8956872246. The cubic root of 216128 is about 60.0118495115.

The spelling of 216128 in words is "two hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 307 352 614 704 1228 2456 3377 4912 6754 9824 13508 19648 27016 54032 108064 216128