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200002200112 = 2411136113110939
BaseRepresentation
bin1011101001000100001…
…1110110001000110000
3201010020111102110111001
42322101003312020300
511234101030400422
6231514005131344
720310145436221
oct2722103661060
9633214373431
10200002200112
1177903034180
12329183b9b54
1315b2490c710
1499744d5248
15530875b227
hex2e910f6230

200002200112 has 160 divisors (see below), whose sum is σ = 466287655680. Its totient is φ = 81903744000.

The previous prime is 200002200091. The next prime is 200002200119. The reversal of 200002200112 is 211002200002.

It is not an unprimeable number, because it can be changed into a prime (200002200119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18277939 + ... + 18288877.

It is an arithmetic number, because the mean of its divisors is an integer number (2914297848).

Almost surely, 2200002200112 is an apocalyptic number.

200002200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233143827840).

200002200112 is an abundant number, since it is smaller than the sum of its proper divisors (266285455568).

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

200002200112 is a wasteful number, since it uses less digits than its factorization.

200002200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11163 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200002200112 its reverse (211002200002), we get a palindrome (411004400114).

The spelling of 200002200112 in words is "two hundred billion, two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 61 88 104 122 131 143 176 208 244 262 286 488 524 572 671 793 976 1048 1144 1342 1441 1586 1703 2096 2288 2684 2882 3172 3406 5368 5764 6344 6812 7991 8723 10736 10939 11528 12688 13624 15982 17446 18733 21878 23056 27248 31964 34892 37466 43756 63928 69784 74932 87512 87901 103883 120329 127856 139568 142207 149864 175024 175802 207766 240658 284414 299728 351604 415532 481316 568828 667279 703208 831064 962632 1137656 1142713 1334558 1406416 1433009 1564277 1662128 1925264 2275312 2285426 2669116 2866018 3128554 4570852 5338232 5732036 6257108 7340069 8674627 9141704 10676464 11464072 12514216 14680138 15763099 17349254 18283408 18629117 22928144 25028432 29360276 31526198 34698508 37258234 58720552 63052396 69397016 74516468 87413549 95420897 117441104 126104792 138794032 149032936 174827098 190841794 204920287 252209584 298065872 349654196 381683588 409840574 699308392 763367176 819681148 961549039 1136376137 1398616784 1526734352 1639362296 1923098078 2272752274 3278724592 3846196156 4545504548 7692392312 9091009096 12500137507 15384784624 18182018192 25000275014 50000550028 100001100056 200002200112