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216944 = 24713149
BaseRepresentation
bin110100111101110000
3102000120222
4310331300
523420234
64352212
71562330
oct647560
9360528
10216944
11138aa2
12a5668
1377990
14590c0
154442e
hex34f70

216944 has 40 divisors (see below), whose sum is σ = 520800. Its totient is φ = 85248.

The previous prime is 216919. The next prime is 216947. The reversal of 216944 is 449612.

216944 = T169 + T170 + ... + T182.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216944.

It is not an unprimeable number, because it can be changed into a prime (216947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382 + ... + 1530.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2216944 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 216944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

216944 is an abundant number, since it is smaller than the sum of its proper divisors (303856).

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

216944 is a wasteful number, since it uses less digits than its factorization.

216944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 216944 is about 465.7724766450. The cubic root of 216944 is about 60.0872803814.

The spelling of 216944 in words is "two hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 149 182 208 298 364 596 728 1043 1192 1456 1937 2086 2384 3874 4172 7748 8344 13559 15496 16688 27118 30992 54236 108472 216944