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230700016 = 2431716551
BaseRepresentation
bin11011100000000…
…11001111110000
3121002002202221001
431300003033300
5433024400031
634520411344
75500626541
oct1560031760
9532082831
10230700016
11109251378
1265316b54
1338a45ab1
14228d44c8
15153c0861
hexdc033f0

230700016 has 40 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 110040000.

The previous prime is 230700011. The next prime is 230700023. The reversal of 230700016 is 610007032.

It is a junction number, because it is equal to n+sod(n) for n = 230699966 and 230700002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230700011) 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 7 ways as a sum of consecutive naturals, for example, 31941 + ... + 38491.

Almost surely, 2230700016 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 230700016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

230700016 is an abundant number, since it is smaller than the sum of its proper divisors (237270032).

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

230700016 is a wasteful number, since it uses less digits than its factorization.

230700016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 230700016 is about 15188.8121984571. The cubic root of 230700016 is about 613.3135243550.

Adding to 230700016 its reverse (610007032), we get a palindrome (840707048).

The spelling of 230700016 in words is "two hundred thirty million, seven hundred thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 1136 2201 4402 6551 8804 13102 17608 26204 35216 52408 104816 203081 406162 465121 812324 930242 1624648 1860484 3249296 3720968 7441936 14418751 28837502 57675004 115350008 230700016