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116168200 = 23522920029
BaseRepresentation
bin1101110110010…
…01011000001000
322002120221210221
412323021120020
5214214340300
615305515424
72610261541
oct673113010
9262527727
10116168200
115a634985
1232aa2b74
131b0b4aa5
14115dd4c8
15a2ea31a
hex6ec9608

116168200 has 48 divisors (see below), whose sum is σ = 279418500. Its totient is φ = 44862720.

The previous prime is 116168183. The next prime is 116168207. The reversal of 116168200 is 2861611.

It can be written as a sum of positive squares in 6 ways, for example, as 29789764 + 86378436 = 5458^2 + 9294^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (116168207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4215 + ... + 15814.

Almost surely, 2116168200 is an apocalyptic number.

116168200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116168200 is an abundant number, since it is smaller than the sum of its proper divisors (163250300).

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

116168200 is a wasteful number, since it uses less digits than its factorization.

116168200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20074 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 116168200 is about 10778.1352747124. The cubic root of 116168200 is about 487.9355038834.

The spelling of 116168200 in words is "one hundred sixteen million, one hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 20029 40058 80116 100145 160232 200290 400580 500725 580841 801160 1001450 1161682 2002900 2323364 2904205 4005800 4646728 5808410 11616820 14521025 23233640 29042050 58084100 116168200