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194870016 = 2833112233
BaseRepresentation
bin10111001110101…
…11101100000000
3111120200102102000
423213113230000
5344341320031
631200424000
74554240105
oct1347275400
9446612360
10194870016
119aaa9800
1255318000
13314ac303
141bc48aac
15121943e6
hexb9d7b00

194870016 has 216 divisors, whose sum is σ = 636133680. Its totient is φ = 58798080.

The previous prime is 194870003. The next prime is 194870021. The reversal of 194870016 is 610078491.

194870016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836236 + ... + 836468.

Almost surely, 2194870016 is an apocalyptic number.

194870016 is a gapful number since it is divisible by the number (16) 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 194870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318066840).

194870016 is an abundant number, since it is smaller than the sum of its proper divisors (441263664).

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

194870016 is a wasteful number, since it uses less digits than its factorization.

194870016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 194870016 is about 13959.5850941208. The cubic root of 194870016 is about 579.7601227629.

The spelling of 194870016 in words is "one hundred ninety-four million, eight hundred seventy thousand, sixteen".