Search a number
-
+
216048210 = 23574672203
BaseRepresentation
bin11001110000010…
…10001001010010
3120001112101102120
430320022021102
5420302020320
633234355110
75232244110
oct1470121122
9501471376
10216048210
11100a54244
126042ba96
13359b5aa1
142099cab0
1513e79440
hexce0a252

216048210 has 64 divisors (see below), whose sum is σ = 594127872. Its totient is φ = 49254336.

The previous prime is 216048169. The next prime is 216048227. The reversal of 216048210 is 12840612.

It is a super-3 number, since 3×2160482103 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96969 + ... + 99171.

It is an arithmetic number, because the mean of its divisors is an integer number (9283248).

Almost surely, 2216048210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216048210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297063936).

216048210 is an abundant number, since it is smaller than the sum of its proper divisors (378079662).

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

216048210 is a wasteful number, since it uses less digits than its factorization.

216048210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 216048210 is about 14698.5785026988. The cubic root of 216048210 is about 600.0446355682.

Adding to 216048210 its reverse (12840612), we get a palindrome (228888822).

The spelling of 216048210 in words is "two hundred sixteen million, forty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 467 934 1401 2203 2335 2802 3269 4406 4670 6538 6609 7005 9807 11015 13218 14010 15421 16345 19614 22030 30842 32690 33045 46263 49035 66090 77105 92526 98070 154210 231315 462630 1028801 2057602 3086403 5144005 6172806 7201607 10288010 14403214 15432015 21604821 30864030 36008035 43209642 72016070 108024105 216048210