Search a number
-
+
216686128 = 24231075503
BaseRepresentation
bin11001110101001…
…01111000110000
3120002201210111011
430322211320300
5420432424003
633300200304
75240541661
oct1472457060
9502653434
10216686128
1110134a54a
1260699094
1335b7a259
1420ac7368
151405346d
hexcea5e30

216686128 has 40 divisors (see below), whose sum is σ = 442257408. Its totient is φ = 102645312.

The previous prime is 216686111. The next prime is 216686137. The reversal of 216686128 is 821686612.

216686128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 36625 + ... + 42127.

Almost surely, 2216686128 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 216686128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221128704).

216686128 is an abundant number, since it is smaller than the sum of its proper divisors (225571280).

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

216686128 is a wasteful number, since it uses less digits than its factorization.

216686128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5635 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 216686128 is about 14720.2624976595. The cubic root of 216686128 is about 600.6346322036.

The spelling of 216686128 in words is "two hundred sixteen million, six hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 107 184 214 368 428 856 1712 2461 4922 5503 9844 11006 19688 22012 39376 44024 88048 126569 253138 506276 588821 1012552 1177642 2025104 2355284 4710568 9421136 13542883 27085766 54171532 108343064 216686128