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199050400 = 2552248813
BaseRepresentation
bin10111101110101…
…00010010100000
3111212112210211001
423313110102200
5401424103100
631430201344
74634620603
oct1367242240
9455483731
10199050400
11a23a456a
12567b3254
1332314003
141c61633a
151271cd6a
hexbdd44a0

199050400 has 36 divisors (see below), whose sum is σ = 485933742. Its totient is φ = 79619840.

The previous prime is 199050391. The next prime is 199050407. The reversal of 199050400 is 4050991.

It can be written as a sum of positive squares in 3 ways, for example, as 98168464 + 100881936 = 9908^2 + 10044^2 .

It is not an unprimeable number, because it can be changed into a prime (199050407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123607 + ... + 125206.

Almost surely, 2199050400 is an apocalyptic number.

199050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199050400 is an abundant number, since it is smaller than the sum of its proper divisors (286883342).

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

199050400 is a wasteful number, since it uses less digits than its factorization.

199050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248833 (or 248820 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 199050400 is about 14108.5222472093. The cubic root of 199050400 is about 583.8765298493.

The spelling of 199050400 in words is "one hundred ninety-nine million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 248813 497626 995252 1244065 1990504 2488130 3981008 4976260 6220325 7962016 9952520 12440650 19905040 24881300 39810080 49762600 99525200 199050400