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199454112 = 2532111329167
BaseRepresentation
bin10111110001101…
…10110110100000
3111220022022121100
423320312312200
5402030012422
631442554400
74641221604
oct1370666640
9456268540
10199454112
11a264a910
1256968a00
13324259b0
141c6bd504
151279c7ac
hexbe36da0

199454112 has 288 divisors, whose sum is σ = 693463680. Its totient is φ = 53544960.

The previous prime is 199454111. The next prime is 199454117. The reversal of 199454112 is 211454991.

It is a happy number.

199454112 is a `hidden beast` number, since 1 + 99 + 454 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (199454111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194253 + ... + 1194419.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2199454112 is an apocalyptic number.

199454112 is a gapful number since it is divisible by the number (12) 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 199454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

199454112 is an abundant number, since it is smaller than the sum of its proper divisors (494009568).

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

199454112 is a wasteful number, since it uses less digits than its factorization.

199454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 199454112 is about 14122.8223808133. The cubic root of 199454112 is about 584.2710007650.

The spelling of 199454112 in words is "one hundred ninety-nine million, four hundred fifty-four thousand, one hundred twelve".