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199056800 = 2552248821
BaseRepresentation
bin10111101110101…
…01110110100000
3111212120010121002
423313111312200
5401424304200
631430251132
74634645345
oct1367256640
9455503532
10199056800
11a23a9358
12567b6aa8
1332316bb7
141c6187cc
151271ebd5
hexbdd5da0

199056800 has 36 divisors (see below), whose sum is σ = 485949366. Its totient is φ = 79622400.

The previous prime is 199056773. The next prime is 199056829. The reversal of 199056800 is 8650991.

It can be written as a sum of positive squares in 3 ways, for example, as 93624976 + 105431824 = 9676^2 + 10268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123611 + ... + 125210.

Almost surely, 2199056800 is an apocalyptic number.

199056800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199056800 is an abundant number, since it is smaller than the sum of its proper divisors (286892566).

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

199056800 is a wasteful number, since it uses less digits than its factorization.

199056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248841 (or 248828 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 199056800 is about 14108.7490586515. The cubic root of 199056800 is about 583.8827875103.

The spelling of 199056800 in words is "one hundred ninety-nine million, fifty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 248821 497642 995284 1244105 1990568 2488210 3981136 4976420 6220525 7962272 9952840 12441050 19905680 24882100 39811360 49764200 99528400 199056800