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200110014 = 23513191667
BaseRepresentation
bin10111110110101…
…10111110111110
3111221112122100000
423323112332332
5402212010024
631505015130
74646623056
oct1373267676
9457478300
10200110014
11a2a58685
12570244a6
13325c53c0
141c810566
151287bcc9
hexbed6fbe

200110014 has 96 divisors (see below), whose sum is σ = 510007680. Its totient is φ = 58296672.

The previous prime is 200109997. The next prime is 200110037. The reversal of 200110014 is 410011002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200109978 and 200110005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119209 + ... + 120875.

It is an arithmetic number, because the mean of its divisors is an integer number (5312580).

Almost surely, 2200110014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200110014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255003840).

200110014 is an abundant number, since it is smaller than the sum of its proper divisors (309897666).

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

200110014 is a wasteful number, since it uses less digits than its factorization.

200110014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200110014 is about 14146.0246712637. The cubic root of 200110014 is about 584.9107556168.

Adding to 200110014 its reverse (410011002), we get a palindrome (610121016).

The spelling of 200110014 in words is "two hundred million, one hundred ten thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 243 247 342 351 486 494 513 702 741 1026 1053 1482 1539 1667 2106 2223 3078 3159 3334 4446 4617 5001 6318 6669 9234 10002 13338 15003 20007 21671 30006 31673 40014 43342 45009 60021 63346 65013 90018 95019 120042 130026 135027 190038 195039 270054 285057 390078 405081 411749 570114 585117 810162 823498 855171 1170234 1235247 1710342 1755351 2470494 2565513 3510702 3705741 5131026 5266053 7411482 7696539 10532106 11117223 15393078 22234446 33351669 66703338 100055007 200110014