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230116216 = 231117193797
BaseRepresentation
bin11011011011101…
…00101101111000
3121001000010002211
431231310231320
5432402204331
634500104504
75462645521
oct1555645570
9531003084
10230116216
111089927a0
1265095134
13388a0155
14227c1848
15153078b1
hexdb74b78

230116216 has 64 divisors (see below), whose sum is σ = 501590880. Its totient is φ = 97812480.

The previous prime is 230116207. The next prime is 230116223. The reversal of 230116216 is 612611032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 288330 + ... + 289126.

Almost surely, 2230116216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230116216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250795440).

230116216 is an abundant number, since it is smaller than the sum of its proper divisors (271474664).

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

230116216 is a wasteful number, since it uses less digits than its factorization.

230116216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 230116216 is about 15169.5819322749. The cubic root of 230116216 is about 612.7957453342.

Adding to 230116216 its reverse (612611032), we get a palindrome (842727248).

The spelling of 230116216 in words is "two hundred thirty million, one hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 193 374 386 748 772 797 1496 1544 1594 2123 3188 3281 4246 6376 6562 8492 8767 13124 13549 16984 17534 26248 27098 35068 36091 54196 70136 72182 108392 144364 149039 153821 288728 298078 307642 596156 615284 1192312 1230568 1692031 2614957 3384062 5229914 6768124 10459828 13536248 20919656 28764527 57529054 115058108 230116216