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230202000112 = 2474797450839
BaseRepresentation
bin1101011001100100011…
…0111100001011110000
3211000012011200020221011
43112121012330023300
512232423203000422
6253430415440304
722426422500320
oct3263106741360
9730164606834
10230202000112
11896a0033977
1238746226094
13189284bba66
14b1db2ad280
155ec4ba0077
hex35991bc2f0

230202000112 has 80 divisors (see below), whose sum is σ = 525946337280. Its totient is φ = 95563229184.

The previous prime is 230202000097. The next prime is 230202000113. The reversal of 230202000112 is 211000202032.

230202000112 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 = 230202000092 and 230202000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230202000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285189 + ... + 736027.

It is an arithmetic number, because the mean of its divisors is an integer number (6574329216).

Almost surely, 2230202000112 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 230202000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262973168640).

230202000112 is an abundant number, since it is smaller than the sum of its proper divisors (295744337168).

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

230202000112 is a wasteful number, since it uses less digits than its factorization.

230202000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450998 (or 450992 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 230202000112 its reverse (211000202032), we get a palindrome (441202202144).

The spelling of 230202000112 in words is "two hundred thirty billion, two hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 47 56 94 97 112 188 194 329 376 388 658 679 752 776 1316 1358 1552 2632 2716 4559 5264 5432 9118 10864 18236 31913 36472 63826 72944 127652 255304 450839 510608 901678 1803356 3155873 3606712 6311746 7213424 12623492 21189433 25246984 42378866 43731383 50493968 84757732 87462766 148326031 169515464 174925532 296652062 306119681 339030928 349851064 593304124 612239362 699702128 1186608248 1224478724 2055375001 2373216496 2448957448 4110750002 4897914896 8221500004 14387625007 16443000008 28775250014 32886000016 57550500028 115101000056 230202000112