Search a number
-
+
216216198 = 232116771613
BaseRepresentation
bin11001110001100…
…11001010000110
3120001211220212100
430320303022012
5420322404243
633242132530
75233543632
oct1470631206
9501756770
10216216198
11101059480
12604b1146
1335a443a3
1420a03dc2
1513eae0d3
hexce33286

216216198 has 48 divisors (see below), whose sum is σ = 512128656. Its totient is φ = 65382720.

The previous prime is 216216193. The next prime is 216216239. The reversal of 216216198 is 891612612.

216216198 is a `hidden beast` number, since 2 + 16 + 21 + 619 + 8 = 666.

216216198 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216216191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133240 + ... + 134852.

It is an arithmetic number, because the mean of its divisors is an integer number (10669347).

Almost surely, 2216216198 is an apocalyptic number.

216216198 is an abundant number, since it is smaller than the sum of its proper divisors (295912458).

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

216216198 is a wasteful number, since it uses less digits than its factorization.

216216198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2306 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 216216198 is about 14704.2918224578. The cubic root of 216216198 is about 600.2001165815.

The spelling of 216216198 in words is "two hundred sixteen million, two hundred sixteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 677 1354 1613 2031 3226 4062 4839 6093 7447 9678 12186 14517 14894 17743 22341 29034 35486 44682 53229 67023 106458 134046 159687 319374 1092001 2184002 3276003 6552006 9828009 12012011 19656018 24024022 36036033 72072066 108108099 216216198