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216731034 = 232133972333
BaseRepresentation
bin11001110101100…
…00110110011010
3120002211002002100
430322300312122
5420440343114
633301144230
75241116622
oct1472606632
9502732070
10216731034
11101380263
12606bb076
1335b94820
1420ad9882
1514061909
hexceb0d9a

216731034 has 48 divisors (see below), whose sum is σ = 507196872. Its totient is φ = 66489984.

The previous prime is 216731033. The next prime is 216731041. The reversal of 216731034 is 430137612.

It can be written as a sum of positive squares in 4 ways, for example, as 151363809 + 65367225 = 12303^2 + 8085^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216730989 and 216731007.

It is not an unprimeable number, because it can be changed into a prime (216731033) 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, 91732 + ... + 94064.

Almost surely, 2216731034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216731034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253598436).

216731034 is an abundant number, since it is smaller than the sum of its proper divisors (290465838).

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

216731034 is a wasteful number, since it uses less digits than its factorization.

216731034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 216731034 is about 14721.7877311147. The cubic root of 216731034 is about 600.6761211475.

Adding to 216731034 its reverse (430137612), we get a palindrome (646868646).

The spelling of 216731034 in words is "two hundred sixteen million, seven hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 397 794 1191 2333 2382 3573 4666 5161 6999 7146 10322 13998 15483 20997 30329 30966 41994 46449 60658 90987 92898 181974 272961 545922 926201 1852402 2778603 5557206 8335809 12040613 16671618 24081226 36121839 72243678 108365517 216731034