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216630 = 23252983
BaseRepresentation
bin110100111000110110
3102000011100
4310320312
523413010
64350530
71561401
oct647066
9360140
10216630
11138837
12a5446
13777ab
1458d38
15442c0
hex34e36

216630 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 55104.

The previous prime is 216617. The next prime is 216641. The reversal of 216630 is 36612.

It is a happy number.

216630 is a `hidden beast` number, since 2 + 1 + 663 + 0 = 666.

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

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2569 + ... + 2651.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2216630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

216630 is an abundant number, since it is smaller than the sum of its proper divisors (373050).

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

216630 is a wasteful number, since it uses less digits than its factorization.

216630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 216630 is about 465.4352801411. The cubic root of 216630 is about 60.0582767121.

Subtracting from 216630 its sum of digits (18), we obtain a palindrome (216612).

It can be divided in two parts, 2166 and 30, that multiplied together give a triangular number (64980 = T360).

The spelling of 216630 in words is "two hundred sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 83 87 90 145 166 174 249 261 290 415 435 498 522 747 830 870 1245 1305 1494 2407 2490 2610 3735 4814 7221 7470 12035 14442 21663 24070 36105 43326 72210 108315 216630