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199990512 = 24334571013
BaseRepresentation
bin10111110101110…
…01110011110000
3111221022120102000
423322321303300
5402144144022
631502254000
74645614501
oct1372716360
9457276360
10199990512
11a2986917
1256b87300
1332582ba7
141c7bcba8
15128566ac
hexbeb9cf0

199990512 has 80 divisors (see below), whose sum is σ = 575870880. Its totient is φ = 66451968.

The previous prime is 199990507. The next prime is 199990519. The reversal of 199990512 is 215099991.

199990512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199990519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196918 + ... + 197930.

It is an arithmetic number, because the mean of its divisors is an integer number (7198386).

Almost surely, 2199990512 is an apocalyptic number.

199990512 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 199990512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287935440).

199990512 is an abundant number, since it is smaller than the sum of its proper divisors (375880368).

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

199990512 is a wasteful number, since it uses less digits than its factorization.

199990512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The square root of 199990512 is about 14141.8001682954. The cubic root of 199990512 is about 584.7942998029.

The spelling of 199990512 in words is "one hundred ninety-nine million, nine hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 457 914 1013 1371 1828 2026 2742 3039 3656 4052 4113 5484 6078 7312 8104 8226 9117 10968 12156 12339 16208 16452 18234 21936 24312 24678 27351 32904 36468 48624 49356 54702 65808 72936 98712 109404 145872 197424 218808 437616 462941 925882 1388823 1851764 2777646 3703528 4166469 5555292 7407056 8332938 11110584 12499407 16665876 22221168 24998814 33331752 49997628 66663504 99995256 199990512