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216116166 = 23724117929
BaseRepresentation
bin11001110000110…
…10101111000110
3120001122211122110
430320122233012
5420311204131
633240041450
75232646200
oct1470325706
9501584573
10216116166
11100aa0302
1260463286
1335a0a9b6
14209b9770
1513e8e646
hexce1abc6

216116166 has 48 divisors (see below), whose sum is σ = 515093040. Its totient is φ = 60238080.

The previous prime is 216116161. The next prime is 216116167. The reversal of 216116166 is 661611612.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216116161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3090 + ... + 21018.

It is an arithmetic number, because the mean of its divisors is an integer number (10731105).

Almost surely, 2216116166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216116166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257546520).

216116166 is an abundant number, since it is smaller than the sum of its proper divisors (298976874).

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

216116166 is a wasteful number, since it uses less digits than its factorization.

216116166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17989 (or 17982 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 216116166 is about 14700.8899730595. The cubic root of 216116166 is about 600.1075418345.

Adding to 216116166 its reverse (661611612), we get a palindrome (877727778).

The spelling of 216116166 in words is "two hundred sixteen million, one hundred sixteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054 17929 35858 53787 107574 125503 251006 376509 735089 753018 878521 1470178 1757042 2205267 2635563 4410534 5145623 5271126 10291246 15436869 30873738 36019361 72038722 108058083 216116166