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216450 = 232521337
BaseRepresentation
bin110100110110000010
3101222220200
4310312002
523411300
64350030
71561023
oct646602
9358820
10216450
11138693
12a5316
13776a0
1458c4a
1544200
hex34d82

216450 has 72 divisors (see below), whose sum is σ = 643188. Its totient is φ = 51840.

The previous prime is 216431. The next prime is 216451. The reversal of 216450 is 54612.

216450 = T64 + T65 + ... + T115.

It is a happy number.

216450 is a `hidden beast` number, since 21 + 645 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 84681 + 131769 = 291^2 + 363^2 .

It is a super-3 number, since 3×2164503 = 30422438733375000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (216451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5832 + ... + 5868.

2216450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594).

216450 is an abundant number, since it is smaller than the sum of its proper divisors (426738).

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

216450 is a wasteful number, since it uses less digits than its factorization.

216450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 216450 is about 465.2418725781. The cubic root of 216450 is about 60.0416377649.

It can be divided in two parts, 216 and 450, that added together give a palindrome (666).

The spelling of 216450 in words is "two hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 37 39 45 50 65 74 75 78 90 111 117 130 150 185 195 222 225 234 325 333 370 390 450 481 555 585 650 666 925 962 975 1110 1170 1443 1665 1850 1950 2405 2775 2886 2925 3330 4329 4810 5550 5850 7215 8325 8658 12025 14430 16650 21645 24050 36075 43290 72150 108225 216450