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118214208 = 2633729337
BaseRepresentation
bin1110000101111…
…00111001000000
322020102220102000
413002330321000
5220230323313
615421424000
72633542560
oct702747100
9266386360
10118214208
11608020a2
123370b000
131b650148
14119b2da0
15a5a1673
hex70bce40

118214208 has 224 divisors, whose sum is σ = 412089600. Its totient is φ = 32514048.

The previous prime is 118214189. The next prime is 118214251. The reversal of 118214208 is 802412811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350616 + ... + 350952.

Almost surely, 2118214208 is an apocalyptic number.

118214208 is a gapful number since it is divisible by the number (18) 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 118214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206044800).

118214208 is an abundant number, since it is smaller than the sum of its proper divisors (293875392).

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

118214208 is a wasteful number, since it uses less digits than its factorization.

118214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 118214208 is about 10872.6357430018. The cubic root of 118214208 is about 490.7834309122.

The spelling of 118214208 in words is "one hundred eighteen million, two hundred fourteen thousand, two hundred eight".