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116227200 = 2735212107
BaseRepresentation
bin1101110110101…
…11110010000000
322002200221202010
412323113302000
5214223232300
615311052520
72610625545
oct673276200
9262627663
10116227200
115a675241
1232b11140
131b1058bb
1411616bcc
15a30ca50
hex6ed7c80

116227200 has 96 divisors (see below), whose sum is σ = 382854960. Its totient is φ = 30991360.

The previous prime is 116227183. The next prime is 116227217. The reversal of 116227200 is 2722611.

It is an interprime number because it is at equal distance from previous prime (116227183) and next prime (116227217).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3547 + ... + 15653.

Almost surely, 2116227200 is an apocalyptic number.

116227200 is a gapful number since it is divisible by the number (10) 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 116227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191427480).

116227200 is an abundant number, since it is smaller than the sum of its proper divisors (266627760).

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

116227200 is a wasteful number, since it uses less digits than its factorization.

116227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12134 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 116227200 is about 10780.8719498935. The cubic root of 116227200 is about 488.0180948231.

Adding to 116227200 its reverse (2722611), we get a palindrome (118949811).

The spelling of 116227200 in words is "one hundred sixteen million, two hundred twenty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 12107 24214 36321 48428 60535 72642 96856 121070 145284 181605 193712 242140 290568 302675 363210 387424 484280 581136 605350 726420 774848 908025 968560 1162272 1210700 1452840 1549696 1816050 1937120 2324544 2421400 2905680 3632100 3874240 4649088 4842800 5811360 7264200 7748480 9685600 11622720 14528400 19371200 23245440 29056800 38742400 58113600 116227200