Search a number
-
+
216040220 = 225117113831
BaseRepresentation
bin11001110000010…
…00001100011100
3120001111222110122
430320020030130
5420301241340
633234254112
75232211604
oct1470101434
9501458418
10216040220
11100a49240
1260427338
13359b2266
1420999c04
1513e76db5
hexce0831c

216040220 has 48 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 77448000.

The previous prime is 216040217. The next prime is 216040229. The reversal of 216040220 is 22040612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216040229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8705 + ... + 22535.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2216040220 is an apocalyptic number.

216040220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

216040220 is an abundant number, since it is smaller than the sum of its proper divisors (285895396).

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

216040220 is a wasteful number, since it uses less digits than its factorization.

216040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 216040220 is about 14698.3067051957. The cubic root of 216040220 is about 600.0372384295.

Adding to 216040220 its reverse (22040612), we get a palindrome (238080832).

The spelling of 216040220 in words is "two hundred sixteen million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 13831 15620 27662 55324 69155 138310 152141 276620 304282 608564 760705 982001 1521410 1964002 3042820 3928004 4910005 9820010 10802011 19640020 21604022 43208044 54010055 108020110 216040220