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199332880 = 2452491661
BaseRepresentation
bin10111110000110…
…01010000010000
3111220002011022021
423320121100100
5402012123010
631440221224
74640205265
oct1370312020
9456064267
10199332880
11a257781a
125690a814
13323b2766
141c68b26c
15127768da
hexbe19410

199332880 has 20 divisors (see below), whose sum is σ = 463449132. Its totient is φ = 79733120.

The previous prime is 199332877. The next prime is 199332901. The reversal of 199332880 is 88233991.

It is a happy number.

199332880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136796416 + 62536464 = 11696^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1245751 + ... + 1245910.

Almost surely, 2199332880 is an apocalyptic number.

199332880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199332880 is an abundant number, since it is smaller than the sum of its proper divisors (264116252).

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

199332880 is a wasteful number, since it uses less digits than its factorization.

199332880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491674 (or 2491668 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 199332880 is about 14118.5296684889. The cubic root of 199332880 is about 584.1525997668.

The spelling of 199332880 in words is "one hundred ninety-nine million, three hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2491661 4983322 9966644 12458305 19933288 24916610 39866576 49833220 99666440 199332880