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230193816 = 2331921632
BaseRepresentation
bin11011011100001…
…11101010011000
3121001011001112220
431232013222120
5432412200231
634501504040
75463420666
oct1556075230
9531131486
10230193816
11108a36026
1265112020
13388c9578
1422801c36
1515320896
hexdb87a98

230193816 has 72 divisors (see below), whose sum is σ = 611116380. Its totient is φ = 72246816.

The previous prime is 230193779. The next prime is 230193833. The reversal of 230193816 is 618391032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1412151 + ... + 1412313.

Almost surely, 2230193816 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 230193816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305558190).

230193816 is an abundant number, since it is smaller than the sum of its proper divisors (380922564).

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

230193816 is a wasteful number, since it uses less digits than its factorization.

230193816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 230193816 is about 15172.1394667990. The cubic root of 230193816 is about 612.8646201060.

Multiplying 230193816 by its product of nonzero digits (7776), we get a square (1789987113216 = 13379042).

The spelling of 230193816 in words is "two hundred thirty million, one hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 361 456 489 652 722 978 1083 1304 1444 1956 2166 2888 3097 3912 4332 6194 8664 9291 12388 18582 24776 26569 37164 53138 58843 74328 79707 106276 117686 159414 176529 212552 235372 318828 353058 470744 504811 637656 706116 1009622 1412232 1514433 2019244 3028866 4038488 6057732 9591409 12115464 19182818 28774227 38365636 57548454 76731272 115096908 230193816