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230320216 = 237171132141
BaseRepresentation
bin11011011101001…
…10100001011000
3121001101110221101
431232212201120
5432430221331
634504321144
75464455340
oct1556464130
9531343841
10230320216
11109011a95
12651731b4
1338941c69
1422835d20
1515348061
hexdba6858

230320216 has 64 divisors (see below), whose sum is σ = 527446080. Its totient is φ = 92037120.

The previous prime is 230320213. The next prime is 230320271. The reversal of 230320216 is 612023032.

230320216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230320193 and 230320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230320213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106506 + ... + 108646.

It is an arithmetic number, because the mean of its divisors is an integer number (8241345).

Almost surely, 2230320216 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 230320216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263723040).

230320216 is an abundant number, since it is smaller than the sum of its proper divisors (297125864).

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

230320216 is a wasteful number, since it uses less digits than its factorization.

230320216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 230320216 is about 15176.3044249910. The cubic root of 230320216 is about 612.9767747455.

Adding to 230320216 its reverse (612023032), we get a palindrome (842343248).

The spelling of 230320216 in words is "two hundred thirty million, three hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 113 119 136 226 238 452 476 791 904 952 1582 1921 2141 3164 3842 4282 6328 7684 8564 13447 14987 15368 17128 26894 29974 36397 53788 59948 72794 107576 119896 145588 241933 254779 291176 483866 509558 967732 1019116 1693531 1935464 2038232 3387062 4112861 6774124 8225722 13548248 16451444 28790027 32902888 57580054 115160108 230320216