Search a number
-
+
216600020 = 225713611951
BaseRepresentation
bin11001110100100…
…00110111010100
3120002120102100222
430322100313110
5420422200040
633254253512
75240032640
oct1472206724
9502512328
10216600020
111012a088a
1260657298
1335b49cc0
1420aa3c20
1514037bb5
hexce90dd4

216600020 has 96 divisors (see below), whose sum is σ = 569296896. Its totient is φ = 67392000.

The previous prime is 216600001. The next prime is 216600031. The reversal of 216600020 is 20006612.

216600020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110045 + ... + 111995.

It is an arithmetic number, because the mean of its divisors is an integer number (5930176).

Almost surely, 2216600020 is an apocalyptic number.

216600020 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 216600020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284648448).

216600020 is an abundant number, since it is smaller than the sum of its proper divisors (352696876).

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

216600020 is a wasteful number, since it uses less digits than its factorization.

216600020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 216600020 is about 14717.3373950589. The cubic root of 216600020 is about 600.5550604289. Note that the first 3 decimals are identical.

Adding to 216600020 its reverse (20006612), we get a palindrome (236606632).

The spelling of 216600020 in words is "two hundred sixteen million, six hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 61 65 70 91 122 130 140 182 244 260 305 364 427 455 610 793 854 910 1220 1586 1708 1820 1951 2135 3172 3902 3965 4270 5551 7804 7930 8540 9755 11102 13657 15860 19510 22204 25363 27314 27755 39020 50726 54628 55510 68285 101452 111020 119011 126815 136570 177541 238022 253630 273140 355082 476044 507260 595055 710164 833077 887705 1190110 1547143 1666154 1775410 2380220 3094286 3332308 3550820 4165385 6188572 7735715 8330770 10830001 15471430 16661540 21660002 30942860 43320004 54150005 108300010 216600020