Search a number
-
+
216725790 = 235109191347
BaseRepresentation
bin11001110101011…
…11100100011110
3120002210210220010
430322233210132
5420440211130
633301104050
75241065421
oct1472574436
9502723803
10216725790
11101377326
12606b8026
1335b92318
1420ad79b8
15140600b0
hexceaf91e

216725790 has 64 divisors (see below), whose sum is σ = 529182720. Its totient is φ = 56799360.

The previous prime is 216725779. The next prime is 216725797. The reversal of 216725790 is 97527612.

216725790 is a nontrivial binomial coefficient, being equal to C(20820, 2).

It is a super-2 number, since 2×2167257902 = 93940136102248200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216725797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624397 + ... + 624743.

It is an arithmetic number, because the mean of its divisors is an integer number (8268480).

Almost surely, 2216725790 is an apocalyptic number.

216725790 is the 20819-th triangular number and also the 10410-th hexagonal number.

216725790 is an abundant number, since it is smaller than the sum of its proper divisors (312456930).

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

216725790 is a wasteful number, since it uses less digits than its factorization.

216725790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 216725790 is about 14721.6096266679. The cubic root of 216725790 is about 600.6712764775.

The spelling of 216725790 in words is "two hundred sixteen million, seven hundred twenty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 109 191 218 327 347 382 545 573 654 694 955 1041 1090 1146 1635 1735 1910 2082 2865 3270 3470 5205 5730 10410 20819 37823 41638 62457 66277 75646 104095 113469 124914 132554 189115 198831 208190 226938 312285 331385 378230 397662 567345 624570 662770 994155 1134690 1988310 7224193 14448386 21672579 36120965 43345158 72241930 108362895 216725790